The Church of Jesus Christ of Latter-day Saints encouraged its members to work to pass the amendment by volunteering their time and money for the campaign.

Church officials offered no statement on the rally and march Friday night, but have called for civility and respect in the same-sex marriage debate before and after Tuesday’s vote.

Rally speakers made a similar call on Friday.

“I do not hate the L.D.S. church, nor any of its members and neither should you,” said one of the speakers, State Senator Scott D. McCoy, Democrat of Utah, and one of three openly gay Utah legislators. “The way to deal with this problem is to love more, not hate.”

Mr. McCoy’s district includes the Mormon church headquarters. He called on the crowd to work with him to channel frustration and anger into activism and conversation that fosters understanding.

“I will help them understand,” Mr. McCoy said, “that civil rights for our community does not come into conflict with the religious rights to worship as your conscience dictates.”