In altercations on the internet I've found that lesbians are, quite often, very vocal oponents of men's rights. (And then there are the facinating exceptios.)
Gay men, particularly masculine gay men, are far more open minded about the issue.
Now, having said that, gay men who identify more with women... they seem to have a thing for feminism. But they are a sub-group, they don't speak for all men who have sex with men. Just like straight men who identify more with women seem to have a thing for feminism. But they are a sub-group of straight men.
Incidentally, it was a masculine gay man who first introduced the topic of men's rights to me.