Yes I think it was intended to be libertarians also. I hope the religious right and the libertarian wing can reach a modus vivendi somehow. I tend to act like a member of the religious right, and want legislation like a libertarian. I don't think of it as cognitive dissonance. Rather, I think the government should be limited in what it can do based on what enumerated powers the constituion gives a state (or the federal government). I certainly don't believe the feds should be regulating medicine. H3ll, I don't even think the FDA is constitutional, much less any of the federal gun laws.
It seems to be working lately. However, a lot of social conservatives tend to overreach.