No, the Nazi's were not a left-leaning party. They were a hodge-podge of ideologies, but it was mainly modeled off of Italian Fascism; the "socialist" in "National Socialist" was more to the point of a communal need to create a strong nation, to work together for the greater good. The Nazi's always were anti-Communists, anti-Liberal, and eventually even disagreed with Italian Fascism. As to why people can't distinguish (even in the face of overwhelming evidence) between Communism, Socialism, Left, Progressive, Right, Fascist....I'll never know