well for the most part conservatives are registered republicans because they are the party which best serves the goals that are trying to be achieved.
I’m not a registered Republican but have voted a straight Republican ticket for 36 years.
We don’t have to register in my state, but if we did, right now I don’t think I could put myself down as a “republican” despite having voted that way for 40 years.
Part of that is because now I’m told I shouldn’t be part of their club if I support someone they don’t.