They're already doing it with trans people, they're pushing to overturn gay marriage, so yes, gays are next in priority, and they've already made abortion illegal and making birth control illegal has been in legislatures a lot lately saying it's both "immoral" because it "encourages sex out of marriage" as well as saying it is essentially a series of abortions. Heck women having periods at all they say is what makes women "evil" for "murdering" the eggs. So, women's rights are also on the chopping block. Anyone who's not a white male should be essentially enslaved to men or murdered according to many on the right since that's what their religious texts say to do. Basically anything that doesn't fit with patriarchal society proscribed in the bible and many other religious texts is reason to create "big government" despite the right supposedly being a "small government" philosophy otherwise.

They won't stop with gay people. It'll be all LGBTQ+ people, neurodivergent people, disabled people, nonwhite people, nonchristian people, poor people, women, basically everyone who isn't a rich cishet white christofascist man. Every single group outside them will be genocided or enslaved if they have their way.

I wouldn't expect anything less from the ultrawealthy human+substance trafficking monoparty. Humans are like any other resource to them, to have maximum value extracted and then disposed as refuse when that's done or not acheivable.