Nazis were, are and will always be leftists.
And the only ones that got close to killing Hitler were the evil monarchist sympathizing Wehrmacht officers, much to the dismay of socialists everywhere in Europe.
Naziism is fascism, a form of socialism. Both are about total government control of the economy; they just use different methods and forms to achieve it.
Traditional socialism simply nationalizes or takes over the means of production. The fascist (Nazi) version of socialism is more subtle. it maintains the fiction of private property, while regulating every aspect of its use, thus completely controlling it, just as much as the traditional socialism does.
Our economy in America today is moving ever and ever closer to a fascist model.