Brigham Young tells the Saints in the Tabernacle that they will never, never give up polygamy

We are told that if we would give up polygamy—which we know to be a doctrine revealed from heaven and it is God and the world for it— but suppose this Church should give up this holy order of marriage, then would the devil, and all who are in league with him against the cause of God, rejoice that they had prevailed upon the Saints to refuse to obey one of the revelations and commandments of God to them. Would they be satisfied with this? No; but they would next want us to renounce Joseph Smith as a true prophet of God then the Book of Mormon then baptism for the remission of sins and the laying on of hands for the reception of the Holy Ghost. Then they would wish us to disclaim the gift of prophecy, and the other gifts and graces of the Holy Spirit, on the ground that they are done away and no longer needed in our day, also prophets and apostles, etc.

They want us to yield all these points, transgress the laws God has revealed for the salvation of the world, and change all the ordinances of God's house, and conform to the dogmas of modern Christianity and to the corruptions of the age. Will the Latter-day Saints do this? No; they will not to please anybody. Shall we have a warfare? We shall; we will war and contend for the right, and trust in our God until righteousness is established upon the earth, until peace shall reign everywhere, until the children of men shall lay down the weapons of their warfare and cease to exhaust their ability and ingenuity in forming weapons of destruction to slay their fellow men, until the minds and affections of mankind shall be turned unto the Lord their God, and their energies be directed to beautifying the earth and making it like the garden of Eden. We calculate to struggle on, and continue to exercise faith and enjoy our religion, keeping all the commandments of God, observing the ordinances of his house, trying to fulfill all his words, trusting in him, and we shall see what this course will come to.
(Journal of Discourses, Vol.11, p.239, Brigham Young, June 3, 1866)