I think the right has seized on trans people because it's become socially unacceptable to go after gay people (at least directly), so going after trans people is a substitute. "Othering" some group and uniting people against them is powerful brain stem stuff, and elections these days are won or lost on turnout rather than changing anyone's mind. I'm not sure what they're going to do when there aren't any groups left…
Sadly, this will never happen. We've been at this for tens of thousands of years, and we always find "others."