The left/right scale has always struck me as being just varying degrees of socialism. The extreme right seems to end up at Hitler, and the extreme left ends at Stalin. American politicians all try to paint themselves as being in the middle instead of realizing that they're on the wrong airplane.
Probably the day Americans wake up and hold these moral retards accountable will be a generation or so after the demise of today's news media.
Calling Nazism (National Socialism) "right-wing" is a propaganda trick of the Marxists. Nazism is perhaps (as you basically said) at the extreme right of the socialist spectrum. It should not be associated with "right-wing" as used in other contexts, as for example to characterize political positions in the U.S.