The Church of Jesus Christ of Latter-day Saints has to be among the most outgoing on Earth; in recent years its leaders have reached out to, among others, Hispanics, Koreans, Catholics and Jews.

One of the most enthusiastic responses, however, has come from what some might consider a surprising source: U.S. Muslims.

"We are very aware of the history of Mormons as a group that was chastised in America," says Maher Hathout, a senior adviser to the Muslim Public Affairs Council in Los Angeles. "They can be a good model for any group that feels alienated."

Which perhaps explains an open-mosque day held last fall at the Islamic Center of Irvine. More than half of the guests were Mormons.

"A Mormon living in an Islamic society would be very comfortable," said Steve Young, a member of the LDS Church attending the event.

The sentiment is echoed by Muslims. "When I go to a Mormon church, I feel at ease," said Haitham Bundakji, former chairman of the Islamic Society of Orange County. "When I heard the president (of the LDS Church) speak a few years ago, if I'd closed my eyes I'd have thought he was an imam."

Though the relationship has raised eyebrows and provided ammunition for critics of both religions, Mormons and Muslims have deepening ties in the United States.

What binds them has little to do with theology: Mormons venerate Jesus as interpreted by founder Joseph Smith, while Muslims view Muhammad as God's prophet. Based on shared values and a sense of isolation from mainstream America, the connection was intensified by the Sept. 11 terrorist attacks and cemented by the Southeast Asia tsunami. Brigham Young University in Provo, the LDS Church's major institution of higher learning, features what is thought to be one of the world's best programs for translating classic Islamic works from Arabic to English. Though created primarily for academic purposes, the results have impressed Muslims flattered by the close attention.

"It shows they have a keen interest in the Muslim world," said Levent Akbarut, a member of the Islamic Congregation of La Canada Flintridge, Calif.

And Mormons and Muslims say they often are co-hosts of educational and social programs at which, though some may be angling for long-term doctrinal influence, very little open proselytizing of each other seems to take place. "We have a very close and friendly relationship," said Keith Atkinson, West Coast LDS spokesman.