I’m guessing you aren’t trans or know anyone that is.
Trans people were kicked out of the military under trump. Some republican governments are making it difficult to near impossible for trans people to get transition related medical care. Republican governments are making it difficult to even get identification documents that match your identity. Republican governments are trying to make certain identities to be considered profane and excluded from general society.
https://www.vox.com/identities/2017/7/26/16034366/trump-tran...
There are also no reliable numbers of any trans people who were kicked out of the military (if any). Many continued to serve that were already in.
I regularly argue that Biden has been specifically and materially awful to the trans community. Do not mistake me saying that Republicans want to do worse as somehow saying the Dems are good.
But anti-trans legislation, particularly at the state level, is rising dramatically. (With almost 700 bills introduced this year, compared to merely 10-20 10 years ago.)
The follow states passed anti-trans bills last year: Alabama, Arkansas, Florida, Georgia, Iowa, Idaho, Indiana, Kansas, Kentucky, Louisiana, Missouri, Mississippi, Montana, North Carolina, North Dakota, Nebraska, Oklahoma, South Dakota, Tennessee, Texas, Utah, Wisconsin, West Virginia, Wyoming
I think, looking at that list, it's pretty clearly predominantly right-leaning states who are actually enacting legislation to make access to education, healthcare, mental health support, services, name changes, etc. more difficult. Like, I don't think that's even subjective. 87 bills passed in those states, and those states are the only ones who passed anti-trans bills.
This is IMHO the most toxic and divisive topic not just in politics, but in society too, it touches upon a universal long and cultural fabric of sex division. What you may consider anti-trans to someone else is updating legislation to cover something they never thought it would need to.
Republicans or conservatives in general, may be opposed to same-sex marriage, but it doesn't specifically make them anti-gay.
For context, I'm not a conservative, I just try and be polite, respectful and understanding to those with opposite opinions, as long as they treat me the same.
It absolutely does make them anti-gay. "Gay people should have fewer rights than we do" is fundamentally an anti-gay stance.