Fascism has more to do with unity than diversity. Why would a regime bent on keeping bloodlines pure then muddle it with what they consider non-pure. Socialism has always been more a right wing ideal. It is only the Marxists, the Leninists, and Stalinists that have used it to promote class unity. The Democrats wanted to use blacks as slaves, while the Republicans wanted to rid themselves of blacks by resettling them in Africa. The funny thing about Libertarianism is the fundamentally it will not work. No left wing ideology works because they are all founded on the basis of Utopianism and Egalitarianism. These things do not work within the real world because they are not designed to. While something like having a free market would be considered right wing on the basis that follows the natural ordering of things. While egalitarianism is left wing because it imposes the ideal that everyone is fundamentally equal. When that is simply not true.