True right wing isn’t Nazi or fascist. By that standard the communists of North Korea are a democratic republic and China a people’s republic. Here’s an easy way to summarize the left-right paradigm: leftists want more centralized control and greater government. Right wing would be more individualist with a smaller government and less invasion on personal freedoms. In other words, a true right wing movement would be Libertarianism or other such movements. Since the Nazis were obviously more central-controlled over many things including basic freedom of speech, press, gun ownership, racial superiority etc they have more in line with leftists than with the right.