Yeah, because he saw Marxism/communism as the Jewish plot to rule the world (which, is only half true, because they did want to rule the world, they just weren't Jewish, they hated Jews too), and he saw capitalism as the Jewish plot to eventually force the world through it's inevitable economic collapse.
Well it seems you're at least right about that, but it doesn't make him right wing.
It's not just the name. The Nazi regime regulated prices, wages, etc., and made the corporations work for the state, in other words, they were socialist in name and in practice.
What did they do that was inherently right wing?