Conservative Atlanta pastor Louie Giglio withdrew from delivering the benediction at President Barack Obama's Jan. 21 swearing-in after a sermon he delivered in the mid-1990s against the "aggressive agenda of many in the homosexual community" came to light.

Mr. Giglio and his wife, Shelley, are founders of Passion Conferences, a 15-year-old movement that attracts tens of thousands of young people to pray together and discuss problems such as human slavery and trafficking. In 2008, the Giglios founded Passion City...