No, the Nazis were moderates. Really! Fascism was sold at the time as the "third way," BETWEEN capitalism and communism/socialism.
"Socialist" and "Workers" are commie words, "National" and "German" are fascist words.
Economic centrists, perhaps.. Reactionary rightists on social policy. Social darwinism. Their enemies were on the Left, the Nazis were the conservative rightwing. A great book on the Nazis is Backing Hitler by Robert Gellately. It describes the propaganda and social dynamics that enabled to the holocaust.