What in the world are you going on about?
When you see a drunken mob you want to announce that no libertarians can be in it because they are non-violent, as though it is some religious order?
If you interviewed drunken mobs, you would find that libertarianism is prevalent among them, not social conservatism.
And where you see women being stoned to death for the crime of being raped, the killers are about as socially conservative as you can find. Just because it's not YOUR particular flavor of social conservatism does not make them any less socially conservative.