[Maimonides]

Trotskysts are communists/socialists. Lenin advocated the existence of small capitalists firms. Does does not negate that the state is "the dictatorship of the proletriat." Trotsky was still a marxist. So the proletariat controls the state. There are many currents within socialism and commuinism. Maoists, albanian model, christian marxists, environmental marxists...trotskists, etc...they advocate the ownership of the means of production collectively. Thus they are all marxists. As opposite to capitalists (private ownership of the means of production.)

As far as what 99% of the population thinks that's irrelevant. The fact is that nazis are capitalists...thus right wingers. Again this is a well defined point in any political science book (even ones written by conservatives).

[Tailgunner Joe]

The fact is that nazis are capitalists...thus right wingers.

Not true. The Nazis condemned capitalism as jewish. They did not believe in free enterprise. Their economy was controlled by the state. They rejected individualism. They were socialists.