Because the NEO in neo-nazi refers to a modern and degenerate form of the original ideology. Skinheads are just dumbasses who like to use visible racial difference for their pent-up aggression, instead of using their brains to realize the real enemy of white people is not black, or brown, or whatever visible color. The jew looks white, yet is the worst enemy the white race has ever had.

Also, you speak of Hitler as "the exception" but in fact his speeches were mostly about standing up for what is right, and that is what the original National Socialists were all about. Moral rigtheousness.