Rand Paul is against abortion and I thought gay marriage. I’d be careful in labels in regards to Paul. He has said some negative things about Libertarians like “Libertarians are people who want to walk around naked smoking pot”.
If you are correct, I’d feel much better about him. I seem to remember, however, him mouthing the familiar libertarian mantra not too long ago, we should not let “what people do in their bedrooms or their private lives” concern us. A chip off the old block it appears.