I used to consider myself republican, and I think I'm still closer to republican than democrat. I prefer small government, which is at least sometimes a republican ideal. I am also against identity politics of any kind, so I am against affirmative action. I am in favor of gun rights, with regulations that allow for appropriate tracking of who has guns where, how they are stored, how they are transported etc. However, regulations that prevent particular people from owning guns or ban any particular weapons should be very conservative. Even felons should regain gun rights after an appropriate period of time. Only ridiculously dangerous weapons, like nukes, should be outright banned. Stuff like full auto weapons should be legal, but restricted to only be stored at a gun range or something. As far as LGBT goes, I don't think the government should have anything to do with them. Let them do what they want, let people react how they want (as long as it isn't violent of course, which is already illegal under other laws). I've never been really sure about abortion. My gut reaction is to just let people do what they want, but I struggle to logically justify it as anything but murder. Not to mention the impracticality of banning it.
I wouldn't really call myself a republican anymore though. This is largely because of the religious aspects. I don't know if republicans have actually become more authoritarian or if my perception has just changed, but either way they don't seem to prioritize the same things as me anymore. Things like right to repair, net neutrality, and E2EE are important to me, but they don't align with that at all. The party also keeps embracing identity politics, just with different identities than their opposition. Religion should be a non-factor from a governmental perspective. It doesn't need any special protections, just to be ignored.
If I had to call myself something, I guess I would be a 'libertarian socialist', however much of an oxymoron that seems to be. For instance, I like the idea of UBI, largely because it would allow almost all welfare/social programs to be eliminated (including social security). Doing so would reduce government control, because they no longer have an ability to tweak who gets what, since everyone gets the same amount.