If you have a circle of people who want to eradicate trans people, I would not label them as conservatives first, they are psychopaths and I would not let them in my circle.
edit: actually, I think you're referring to ID laws where you have to pick male or female, correct?
I don't think that's the same as someone not wanting trans to exist at all. Not knowing a lot about this, but my personal opinion would be to allow people to choose trans or non-binary in official identifications, it doesn't seem like it would matter, but I'm not sure what the conservative objection is on this.
Newsflash, trans people have always been a thing. Since like, recorded history. Some people in the US just decided to start caring about this now.
I don't know if you can group trans people into a political category where you can say they all don't want conservatives to exist??? I literally know trans conservatives who voted for trump (you'd not be able to tell they are trans).
I don't know what you intended, but phrasing it that way is a literal denial of the existence of trans people. Transitioning is a realization of who the person has always been, not a "life choice" to suddenly be someone different.
Denying the existence of something and not wanting something to exist are not exactly the same thing, but there is a lot of overlap. Again, I don't know what you intended, but many people pointedly use the word "choice" around this topic. Your phrase would be more accurate if it said "they may not agree with different life experiences" or "they may not agree with different lived realities". Those are decidedly more cutting than the phrasing you used.