I'm gay, and I agree - it is only somewhat corollary in details. A few, not tens of thousands, of LGBTs have been lynched here. Very, very many - but not millions - of LGBT people have been actively, systematically marginalized and disposessed of basic rights. I can't think of any very recent cases where LGBT people have been denied the vote, though it does happen to transpeople when authorities demand ID for voting, and the person is not post-op, and they can say they are in violation of very old gender dress codes and public indecency laws. Now, if one wanted to talk about LGBT people in a number of other countries, where the police will hold a victim's arms pinned while a crowd attacks them for being an abomination, that's more of a corollary to the Black civil rights movement.