When I say that fascism or Nazism was of the Left, I’m using as my yardstick the Anglo-American, classical-liberal, tradition. Many people want to track the Left by a kind of lineage interpretation. So they go back and look at intellectuals (usually quite selectively) and say something like: These people called themselves the Left, the people they hated were “the Right,” they hated the Nazis therefore the Nazis were right-wing.
[…]
So, yes, sure fascism was seen as being to the “right” of Communism, because it was. Even Trotsky considered fascism to be right-wing socialism or middle-class socialism. It seems to me that the key word there is socialism, which is properly understood as a phenomenon of the Left.
(source: The Corner | National Review Online)
Stalin’s definitions of “right” and “left” are probably not the ones most appropriate to American politics.
Well, so far, at any rate.