I also find it bizarre when conservatives act like learning pronouns is some huge hurdle. It's called empathy
While I tend to think I'm slightly conservative, some people have said that I'm a raging leftist, others an alt-right troll, while many more say that I'm "obviously" a centrist, probably because I don't think along party lines so I adopt lots of viewpoints. I had trouble with pronouns when I was a teenager due to a lack of awareness. It was an entirely new concept that I wasn't able to understand but went along with it anyway because it didn't affect me in any way. Then I eventually met a transgender person and they were able to give me a much deeper understanding of the topic. I kept messing up their pronouns since it was really hard for me to call someone who seemed very masculine a woman, but they were very patient with me and it helped a lot. So really, I think it boils down to ignorance, and I don't think them being ignorant is a bad thing so long as they're not causing harm to others, as well as a lack of exposure.
I def don't like the blatant homophobia/anti LGBT comments most conservatives have.
I've strangely had the opposite experience. My father who was a staunch conservative taught me tolerance towards them, while my mother, the complete opposite, used to feel utter hatred for LGBTs until a couple of years ago. I also went to school in a place where most students were conservative, and only a very small minority were homophobic. I don't know if it's the internet, or the desire to fit in with groups, or maybe it's a lack of exposure as I said before, but approaching a group with the mindset of "most are like this" is going to make you pick out the negatives you want to see. I used to do it with transgender people. I used to think that they were whiny and insane based on a couple of Twitter posts. Then I met one, then I met another one, and my viewpoint completely changed.
Edit: For a bit more clarification, I was a teenager which is when I met my transgender friends, and back then I was extremely conservative (not the religious kind, the kind where I'd blindly nod my head to whatever talking points they had no matter how hypocritical). They themselves didn't change my viewpoint on conservatism, but they did change my viewpoint about transgender issues. I never was someone who would just hate people for the sake of it though, so maybe I'm more open-minded or something I don't know. I think I just got older and more mature. I'm not really sure where I'm trying to go with this edit and maybe I'm being an idiot but I guess what I'm trying to get to is that if you approach someone with an open mind and don't try to wait for the "Gotcha!" moment where you can own them, then they
hopefully will be the same to you. Or you can always just not have to do with them at all which takes a lot less effort and saves on the potential for future drama.