Arkady Gyngazov has left his position at the club and come to the U.S., as he says he feels unsafe in Russia.
Citizens should vote on the matter in a referendum, says church spokesman Vsevolod Chaplin.
The nationwide ban on so-called gay propaganda doesn't go far enough because the very existence of gay people is a threat to children, claims Ivan Okhlobystin.
Spain looks set to follow Italy in agreeing to prevent same-sex couples from adopting Russian children; the U.K. and Israel could be next, reports say.
The activist got in trouble for holding a pro-gay sign in a public square.
The Russian president says his nation is most concerned with producing a smooth-running Winter Olympics where all athletes are treated equally.