Gays Against Groomers = "See, I'm one of the good gays. I'm a conservative just like you. I hate trans people, drag queens, and those nasty Pride parades. Can I get some love?"
Other conservatives: "God hates you. The rainbow belongs to us. Your marriage isn't real. Everybody is against groomers, so keep the gay part quiet."
The above conservative reaction is a pretty good summary of conservative Twitter hitting back at Gays Against Groomers. It's pretty close to how conservatives treat the Log Cabin Republicans, who endorse Trump and go along with pretty much every anti-LGBTQ initiative Republicans state parties think up.
Does that buy them anything? Nope, not even a seat at the table in most state GOP organizations. The Texas GOP wouldn't even let them attend the last state convention.