I'd see stuff like campaigning against abortion etc as being on a libertarian/authoritarian axis, nor politically left or right.

I'm sure a lot of people would put Isis on the extreme right, but I'm not at all sure they are right. It's a vicious and repressive regime in all kinds of ways, but that is just as compatible with being extreme left, or even being centrist. When Fidel Castro was cracking down on gays, I don't think that was being rightwing, it was being leftwing, but in a repressive and sexist way.