The term "libertarian" is meaningless without context. Ron Paul considers himself libertarian, yet he's a member of the US GOP and like the rest of the GOP is against abortion. As long as you're not against taking away women's reproductive rights, the Republican Party will make you feel right at home as well.
BTW, I consider myself a libertarian too. I'm a libertarian on most social issues. I used to be on the conservative side on economic issue, but I grew up and developed a more pragmatic view of what government ought to be (and do).