National Socialism, as applied to Nazism and neo-Nazism, is NOT a left wing ideology, and it is NOT socialism. Socialism promotes a classless society — Nazism is rigidly class-oriented and deeply racist. Socialism promotes redistribution of wealth — Nazism consolidated wealth into the hands of big industrialists and bankers. Socialism promotes the end of national states — Nazism was the ultimate patriotic/nationalistic society.

I could go on. The idea that National Socialism was equivalent to Marxism is ludicrous and wrong. This was and is a right wing ideology to its core.