That's more the anarcho-capitalist wing of libertarianism. Overall libertarian is a pretty broad term. It can range from states-rights folks, to people that just want a smaller federal government, to people that want virtually no government at all. The NAP is not at all a common thread in that group. The primary thing that seems to bind them is a generally strict interpretation of the US Constitution, and where they differ is on how they interpret various sections. Some are almost like Christian fundamentalists, they just want the strict text of the Constitution. Others are more like conservative Roman Catholics, the strict text along with the other writings contemporary to its development (to frame the interpretation).