There is no such thing as big l little l libertarianism, that is yet another lie created by social leftists as another approach to defeating conservatism, change the language.
Just ask Beck who embraced gay marriage and every poll that measures libertarianism, they all recognize that libertarianism is social liberalism.
There is a difference. The difference is that on one end of the spectrum you have the Libertarian Party. On the other you have Randian Objectivists.
Just like the statism spectrum is defined by Marxism and Communism on one end, Fascism on the other.
Looking one-dimensionally, either Liberal/Conservative or Libertarian/Statist is too simplistic. It has to be looked at two-dimensionally.