That depends on how you define "worship".
If you define it as "inappropriate obeisance to the dictates of church leaders", I would say yes - the church does encourage this. Though, here too we must ask what constitutes "inappropriate". In my view, it basically boils down to whether the teachings of the church encourages its members to abdicate the throne of their own mind - whether it encourages them to think and act, in relation to questions and circumstances that weigh on the question of the church's validity, its leader's authority, and any subject of special interest to the church, differently than they would when facing analogous questions and circumstances that do not pose such a threat.
Elsewhere, I've written the following in relation to this topic:
One of the oldest accusations that has been leveled against the LDS church is that it “brainwashes” its members. This accusation is both annoying and perplexing to most members of the church, who, in contrast, feel that the church is a strong advocate for education, intelligent inquiry, and free-thinking.
[Earlier], I referred to what has been one of the most consistent lessons in my life - that where you find deeply polarized views, the truth lies somewhere in-between. Usually, each side of such a debate possesses a portion of the truth, but neither have the whole of it. In other words: in at least some sense, the two views are both correct, and I believe that this is true of the debate over whether the LDS church promotes free thinking, or practices “mind control”: I believe it does _both_, and the fact that it does both is a big part of why this can be a frustrating, even confusing, debate.
But, _how?_ - If the church’s teachings, policies and so on are, actually, _both_ promoting free thinking _and_ controlling the thoughts of its members, how is this taking place?
It might seem to be a paradox, but it is nevertheless true, that I no longer believe in the church in large part _because_ of my belief and faith in many of the values that it teaches - especially those of intelligent thought and inquiry. However, this only appears paradoxical if you view the church, its practices, and doctrine, as one indivisible whole. A religion, like the mind of any human being, is, in fact, composed of _many_ “voices” (ideas, teachings and impressions); some which speak with unified purpose and complimentary aims and, I contend, some which do not. Most people can readily identify with the internal battle of one voice crying out for ice-cream while another cries out for a flat stomach. Our minds are full of competing voices, and sometimes the call of one voice overpowers or undermines the efforts of another, better voice. In a similar manner do I find that there is a set of “voices” within the LDS church’s teachings and practices that have power to undermine those which promote freedom of thought, but their true relevance to, and meaning within, the debate goes unnoticed partly because they do so only in regard to a specific category of inquiry, namely - any subject and style of inquiry that might threaten the professed validity and authority of this church and its leaders, and while the ideas which comprise these voices are taught regularly they are delivered in piece-meal order and with other, unobjectionable, claims which effectively camouflage those messages that I am talking about. The result is that along with the message to educate yourself and think freely, there comes, as a whisper, the subliminal message **“... just not about** ___this___**”**.
The church’s promotion of free-thinking, while sincerely meant in regard to matters _outside_ the realm of this concern (its validity and authority), and even within that wiggle room which exists between the set boundaries of this concern, has the effect of camouflaging the thought constraining - even _conscience_ constraining - influence of many other teachings and psychological pressures at work within the church which have the effect of controlling the thinking of its members _within_ the realm of this concern.
What's going on here is perfectly captured in this quote by Noam Chomsky:
“The smart way to keep people passive and obedient is to strictly limit the spectrum of acceptable opinion, but allow very lively debate within that spectrum – even encourage the more critical and dissident views. That gives people the sense that there’s free thinking going on, while all the time the presuppositions of the system are being reinforced by the limits put on the range of the debate.” (The Common Good, 1998)
That’s the broad theory anyway.
The above quote is taken from a much larger work where, among other things, I address an article from a church magazine that was at one time a flash point for this debate, looking first at rebuttals of it as a valid proof of the claim that the church engages in "brainwashing", and finally show that, contrary to the claims made in those rebuttals, these messages really are common within the church.
This article, titled, “Sustaining the General Authorities of the church”, was published in the June, 1945 edition of the Improvement Era magazine[This document can be found at:
https://archive.org/details/improvementera4806unse] (pg 354), and has been dubbed by some as an “old favorite” of those who accuse the church of mind control policies.
The sum and substance of this brief article can be gleaned from these excerpts (you can also read the full article in this footnote[Ward Teacher's Message for June, 1945
'SUSTAINING THE GENERAL AUTHORITIES OF THE CHURCH'
NO Latter-day Saint is compelled to sustain the General Authorities of the Church. When given the opportunity to vote on the proposition in any of the several conferences held throughout the Church, he may indicate his willingness to sustain them by raising his right hand; he may manifest his opposition in like manner; or he may ignore the opportunity entirely. There is no element of coercion or force in this or any other Church procedure.
However, there is the principle of honor involved in the member’s choice. When a person raises his hand to sustain Church leaders as “prophets, seers, and revelators,” it is the same as a promise and a covenant to follow their leadership and to abide by their counsel as the living oracles of God. Consequently, any subsequent act or word of mouth which is at variance with the will of the Lord as taught by the leaders of the Church places the sincerity of such person in serious doubt. One could scarcely have claim upon complete integrity, if he raises his hand to sustain the Authorities of the Church and then proceeds in opposition to their counsel.
Any Latter-day Saint who denounces or opposes, whether actively or otherwise, any plan or doctrine advocated by the “prophets, seers, and revelators” of the Church is cultivating the spirit of apostasy. One cannot speak evil of the Lord’s anointed and retain the Holy Spirit in his heart.
It should be remembered that Lucifer has a very cunning way of convincing unsuspecting souls that the General Authorities of the Church are as likely to be wrong as they are to be right. This sort of game is Satan’s favorite pastime, and he has practiced it on believing souls since Adam. He wins a great victory when he can get members of the Church to speak against their leaders and to “do their own thinking.” He specializes in suggesting that our leaders are in error while he plays the blinding rays of apostasy in the eyes of those whom he thus beguiles. What cunning! And to think that some of our members are deceived by this trickery.
The following words of the Prophet Joseph Smith should be memorized by every Latter-day Saint and repeated often enough to insure their never being forgotten:
"I will give you one of the Keys of the mysteries of the Kingdom. It is an eternal principle, that has existed with God from all eternity: That man who rises up to condemn others, finding fault with the Church, saying that they are out of the way, while he himself is righteous, then know assuredly, that that man is in the high road to apostasy; and if he does not repent, will apostatize, as God lives." (Teachings of the Prophet Joseph Smith, pp. 156-157.)
When our leaders speak, the thinking has been done. When they propose a plan–it is God’s plan. When they point the way, there is no other which is safe. When they give direction, it should mark the end of controversy. God works in no other way. To think otherwise, without immediate repentance, may cost one his faith, may destroy his testimony, and leave him a stranger to the kingdom of God.]):
"No Latter-day Saint is compelled to sustain the General Authorities of the Church... There is no element of coercion or force in this or any other
However... When a person raises his hand to sustain Church leaders as "prophets, seers, and revelators," it is the same as a promise and a covenant to follow their leadership and to abide by their counsel as the living oracles of God. Consequently, any subsequent act or word of mouth which is at variance with the will of the Lord as taught by the leaders of the Church places the sincerity of such person in serious doubt…
Any Latter–day Saint who denounces or opposes, whether actively or otherwise, any plan or doctrine advocated by the "prophets, seers, and revelators" of the Church is cultivating the spirit of apostasy. One cannot speak evil of the Lord’s anointed and retain the Holy Spirit in his heart… [Satan] wins a great victory when he can get members of the Church to speak against their leaders and to "do their own thinking."… When our leaders speak, the thinking has been done. When they propose a plan — it is God’s plan. When they point the way, there is no other which is safe. When they give direction, it should mark the end of controversy. God works in no other way. To think otherwise, without immediate repentance, may cost one his faith, may destroy his testimony, and leave him a stranger to the kingdom of God.”
I won't quote the entire writeup here, but to skip to the point I will finish by including a small sampling here of the many quotes I include in it which demonstrate that indeed, these messages are taught:
“No true Latter-day Saint will ever take a stand that is in opposition to what the Lord has revealed to those who direct the affairs of his earthly kingdom. No Latter-day Saint who is true and faithful in all things will ever pursue a course, or espouse a cause, or publish an article or book that weakens or destroys faith.” (Apostle Bruce R. McConkie, Conference Report, October 1984, p. 104)
"while a man might honestly differ in opinion from the authorities through a want of understanding, he had to be exceedingly careful how he acted in relation to such differences, or the adversary would take advantage of him and he would soon become imbued with the spirit of apostasy, and be found fighting against God and the authority which He had placed here to govern His Church.’ ” (Deseret News Weekly, 3 Nov. 1869, p. 457. As found in Enrichment F "As If from Mine Own Mouth": The Role of Prophets in the Church, Doctrine and Covenants Student Manual, (2002), 389–392)
"No man, however strong he may be in the faith, however high in the Priesthood, can speak evil of the Lord’s anointed and find fault with God’s authority on the earth without incurring His displeasure. The Holy Spirit will withdraw itself from such a man, and he will go into darkness.” (Gospel Truth, ed. Jerrald L. Newquist (Salt Lake City: Zion’s Book Store, 1957), p. 278.; As quoted in: "Follow the Brethren", By Alma P. Burton; Ensign, October, 1972)
"One of the first steps to apostasy is to find fault with your Bishop; and when that is done, unless repented of a second step is soon taken, and by and by the person is cut off from the Church, and that is the end of it. Will you allow yourselves to find fault with your Bishop? (Discourses of Brigham Young, 86)."(As found in: Teachings of Brigham Young Student Manual; Chapter 12; Preventing Personal Apostasy)
“What I the Lord have spoken, I have spoken, and I excuse not myself; and though the heavens and the earth pass away, my word shall not pass away, but shall all be fulfilled, whether by mine own voice or by the voice of my servants, it is the same.”(D&C 1:38)
“The prophet does not have to say ‘Thus saith the Lord’ to give us scripture.
Sometimes there are those who argue about words. They might say the prophet gave us counsel but that we are not obliged to follow it unless he says it is a commandment. But the Lord says of the Prophet, ‘Thou shalt give heed unto all his _words_ and _commandments_ which he shall give unto you.’ (D&C 21:4.)
… Said Brigham Young, 'I have never yet preached a sermon and sent it out to the children of men, that they may not call scripture.' (Journal of Discourses, 13:95.)” (President Ezra Taft Benson, Of the Quorum of the Twelve, "Fourteen Fundamentals in Following the Prophet", First Presidency Message, Liahona Magazine, June 1981)
"Recently, at the Churchwide fireside meeting held for the women of the Church, Young Women President Elaine Cannon made the following statement:
“When the Prophet speaks, … the debate is over” (Ensign, Nov. 1978, p. 108).
I was impressed by that simple statement, which carries such deep spiritual meaning for all of us. Wherever I go, my message to the people is: Follow the prophet... Latter-day Saints should be able to accept the words of the prophets without having to wait for science to prove the validity of their words. We are most fortunate to have a living prophet at the head of the Church to guide us, and all who heed his counsel will be partakers of the promised blessings which will not be enjoyed by those who fail to accept his messages... We cannot serve God and mammon. Whose side are we on? When the prophet speaks the debate is over."(“The Debate Is Over”; The First Presidency Message, by President N. Eldon Tanner, First Counselor in the First Presidency)
"There are the so-called learned people who have let their intellect undermine their spiritual moorings and who would also attempt to lead the faithful away from those who are appointed by the Lord to lead. There are those who feel that our leaders are out of touch with the realities of the day. They would attempt to lead members by substituting their own knowledge for the revelations from God to His prophets... When the prophets speak, let us listen and obey." ("Keep the Faith", by Bishop Richard C. Edgley, Second Counselor in the Presiding Bishopric; General Conference, April 1993)
"Now the only safety we have as members of this church is to do exactly what the Lord said to the Church in that day when the Church was organized. We must learn to give heed to the words and commandments that the Lord shall give through His prophet, “as he receiveth them, walking in all holiness before me; … as if from mine own mouth, in all patience and faith” (D&C 21:4–5). There will be some things that take patience and faith. You may not like what comes from the authority of the Church. It may contradict your political views. It may contradict your social views. It may interfere with some of your social life. But if you listen to these things, as if from the mouth of the Lord Himself, with patience and faith, the promise is that “the gates of hell shall not prevail against you; yea, and the Lord God will disperse the powers of darkness from before you, and cause the heavens to shake for your good, and his name’s glory” (D&C 21:6)"(Teachings of Presidents of the Church: Harold B. Lee; Chapter 9: Heeding the True Messenger of Jesus Christ)
Why do people apostatize? You know we are on the "Old Ship Zion." We are in the midst of the ocean. A storm comes on, and, as sailors say, she labors very hard. "I am not going to stay here," says one; "I don’t believe this is the ’Ship Zion.’" "But we are in the midst of the ocean." "I don’t care, I am not going to stay here." Off goes the coat, and he jumps overboard. Will he not be drowned? Yes. So with those who leave this Church. It is the "Old Ship Zion," let us stay in it. (Discourses of Brigham Young, Chapter 6 The Power of Evil[https://archive.org/details/discoursesofbrig028407mbp])
“The Lord will never permit me or any other man who stands as President of this Church to lead you astray. It is not in the programme. It is not in the mind of God. If I were to attempt that, the Lord would remove me out of my place, and so He will any other man who attempts to lead the children of men astray from the oracles of God and from their duty.” (President Wilford Woodruff, As found in Official Declaration 1 of the Doctrine and Covenants; Original source: Sixty-first Semiannual General Conference of the Church, Monday, October 6, 1890, Salt Lake City, Utah. Reported in Deseret Evening News, October 11, 1890, p. 2.)
“The Lord Almighty leads this Church, and he will never suffer you to be led astray if you are found doing your duty. You may go home and sleep as sweetly as a babe in its mother's arms, as to any danger of your leaders leading you astray, for if they should try to do so the Lord would quickly sweep them from the earth.”(Prophet Brigham Young, Journal of Discourses, v. 9, p. 289)
“Follow your leaders who have been duly ordained and have been publicly sustained, and you will not be led astray.”(Apostle Boyd K. Packer, General Conference, Oct. 1992, as quoted in Ensign, Nov. 1992)
“We don't have to question anything on the church. Don’t get off into that. Just stay in the Book of Mormon. Just stay in the Doctrine and Covenants. Just listen to the prophets. Just listen to the apostles. We won't lead you astray. We cannot lead you astray.” (M. Russell Ballard, Provo YSA Devotional, October 24, 2015)[Full transcript: http://www.mormonthink.com/files/ysa-devotional-ballard-24-october-2015.pdf
"I sat in this tabernacle some years ago as President Joseph Fielding Smith stood at this pulpit. It was the general priesthood meeting of April 1972, the last general conference before President Smith passed away. He said: 'There is one thing which we should have exceedingly clear in our minds. Neither the President of the Church, nor the First Presidency, or the united voice of the First Presidency and the Twelve will ever lead the Saints astray or send forth counsel to the world that is contrary to the mind and will of the lord'." (L. Aldin Porter of the Presidency of the First Quorum of Seventies; Ensign, Nov. 1994, p. 63)
"I remember years ago when I was a bishop I had President Heber J. Grant talk to our ward. After the meeting I drove him home … Standing by me, he put his arm over my shoulder and said: ‘My boy, you always keep your eye on the President of the Church and if he ever tells you to do anything, and it is wrong, and you do it, the Lord will bless you for it.’ Then with a twinkle in his eye, he said, ‘But you don’t need to worry. The Lord will never let his mouthpiece lead the people astray.'" (Marion G. Romney, Conference Report, October 1960, p. 78, as quoted by President Ezra Taft Benson Of the Quorum of the Twelve, "Fourteen Fundamentals in Following the Prophet", First Presidency Message, June 1981)
Yes. You have to support them to enter the temple.
Yes. Primary children sing "Follow the Prophet" as one of their songs. An unwillingness to sustain and follow the living prophet is an offense that will keep you from full participation in Mormonism.
No, but when you believe that certain men are the only ones privileged to receive revelation for all humans... you can see how it can happen.