So you're basically anywhere to the right of woke/socialist/communist Democrat (e.g. AOC). There are LGBTQ people in conservative or at least non-leftist politics: Milo Yiannopoulos started his movement as homosexual, Blaire White was born a guy and goes by a girl, Brandon Straka is a homosexual and started the #WalkAway movement, plus several others: https://en.wikipedia.org/wiki/LGBT_conservatism#United_States.
You're not going to find too many conservatives (that I know of, anyway), myself included, who will agree on Trans Rights but will still agree on other things and probably hang out with you. And hey, you may find yourself in a whole other category. Who knows? The good thing is, you recognize the corruption in the modern so-called "Democrat" party and want out. You got family here. :-) Heck, some of us are tired of establishment Republicans, too! We're more on the Trump / DeSantis kick, but that's a whole other convo.
Glad you're open-minded and learning.