So, if Nazism is leftist, and Facism is
a communist invention, what form of
government lies to the extreme right?
In Europe the old monarchical system counted as the right. A restorationist or legitimist Bourbon or Orleanist would probably count as an "extreme rightist," at least before Nazis and fascism complicated things.
The whole left-right schema has a lot of problems.
First of all, those monarchies were not so conservative in the days when they were accumulating power, and absolutism was not a form of conservatism.
Secondly, the Nazis-right, Communists-left dichotomy is dubious. It grew out of the street fighting of the Twenties and Thirties. The Nazis were not classic rightists, but neither were they model socialists. Their ideology, like Mussolini's fascism, was a mixture of right-wing and left-wing elements, that was tagged rightist because of the street combat, not because of a detailed analysis of their program. Given that Strasser and other more socialist Nazis were purged, though, simply labeling the NDSAP left-wing or socialist would also be an oversimplification.
Perhaps it's time more than anything that matters: socialist, nationalist and social darwinist ideas were far stronger from, say 1870 to 1980, than they were before or since. Ideas that we now unhesitatingly identify as right or left like eugenics or nationalization were stronger at various points on the political spectrum then, than they were at almost any point since, save on the very fringes of political debate.
But then, the whole one-dimensional left-right scheme is itself an over simplification. Political scientists have tried to give it more substance and explanatory power by making it a two or three dimensional model. Libertarians also like the two dimensional grid. One sci-fi writer labels his axes: "Attitude toward the State," and "Attitude toward planned social progress".
Anarchy, no govt. ;P