The foundation of Communism was all people are equal, the foundation of Nazism is that the Arian race where chosen to rule the world. Both where extremes of a particular ideology but they are by every histories definition the extreme left and right. And again, a fact which is confirmed by the the way those extremes identify with either Hilary or Trump. Denying it is trying to redefine history, not to mention common sense.
"By every histories definition"? What does that even mean?
They had differences but there wasn't much racial diversity in Russia. You are applying your bias to reach a desired conclusion. The were both statist ideologies, whether business was privately held or publicly.
And no half assed decent historian would blanket apply the term left and right universally. The right here isn't like the right in North Korea.