Who’s going to stop them? The government? Ha. Every movement tries to associate itself, in some way, with the founding fathers. Even communists say that they are following the ideal of doing the most for the people.
In the end, the fact that it’s the American experience that first the people established themselves then the government established itself makes it easier for the Libertarians to associate themselves with the founding fathers than anyone else. The pioneer spirit and all that.
Let's compare notes. You show me where the Libertarian Party (or any libertarian for that matter) talks about God and adhering to His principles and laws, and I'll show you how the Founding Fathers talked about that subject.