Well, people don’t always fall neatly along binary lines. I don’t either. I’ve always been independent and even here, I am. I never felt represented by either party because I can see some thing that the dems do right and some they do wrong, and some things that the repubs do right and they do wrong.
So, for me, given a choice between, say, a moderate republican or a moderate democrat whose values were similar enough to mine, I could go either way.
So, if someone is prone to extremism alone: an “I hate big government and it needs to radically change” just wants change. How they get it isn’t as important that they get it.