"By the middle of 1933, Germany was effectively a one-party police state." So was the Soviet Union under Stalin. So was China under Mao after the war, and Cambodia under Pol Pot later again. Once in power this is what Socialists do. It pretty much proves the Nazis were Socialists.

Modern white supremists share the Nazis' racist views, but not their Socialist ones. Hitler and Goebbels repeatedly stated that they were Socialists and that Germany was at war with the Capitalists in Britain.

The National Socialist German Workers’ Party could hardly be anything else but Socialist, but your thesis ignores the obvious fact that socialism is purely the rhetoric to persuade the poor to support the revolution, it is not a workable system for running an economy. Once in power and having established a "one-party police state," all Socialist parties always act like Fascist Dictatorships. Socialist rhetoric to achieve power, Fascist dictatorship once in power.

Read 1984 for George Orwell's take on Hitler, Stalin and Mao - Big Brother is an amalgam of all three, used to illustrate the personality cult that supports every So-called Socialist Dictatorship.

People who think Socialism and Fascism are polar opposites are missing the point: Socialism is the means to an end, Power is the end, and supreme power is what we label Fascism.

As Lord Acton pointed out, "Power corrupts and absolute power corrupts absolutely."