And add this into the mix, Ayn Rand's beliefs are called Objectivism which is different than libertarianism.
Just to be clear in this discussion. Rand had different views than libertarianism although there are many similarities.
I found this taxonomy of libertarianism on Rational-wiki. I have no idea if the site or list has any value. But at least whoever wrote it thinks Rand and the An Caps belong in the libertarian camp. Some of the names are pretty cool, though.