This thought inspired by a conversation yesterday.
People with nihilistic or Nietzschean philosophical views probably reject the underpinnings of libertarianism; what is "freedom" but another empty value? However, such people have strong reason to support a classical liberal system of government, because it's one of the few which protects people with wildly unpopular philosophical beliefs (as Nietzscheans tend to be) from persecution by the masses. So the "practical" nihilist might advocate for libertarianism, even while thinking most of its ethical claims are baseless.
There is also an argument to be made, as presented by Edward Romar's 2009 paper, that Hayek's free markets and Nietzsche's disdain for slave morality are perfectly consistent, but I'll leave that interplay for the philosophers to sort out.