Omega Vision
Face Flowed Into Her Eyes
Regarding the "socialist" in National Socialist, the Nazis didn't really identify with socialists in terms of being pro-worker or anti-private property, but they had socialist tendencies in that they distrusted independently wealthy people and distrusted enterprises completely independent of the central government. However they fully supported the existence of private property and were opposed to communist-style collectivism.
In the end though, it doesn't matter much what economic plan a totalitarian has, be it fascist or communist or something else--totalitarians are interested in accruing absolute power.
I think people who jump toward Hitler comparisons for political arguments are just revealing their lack of imagination and lack of reason. Hence why I've never made a direct comparison between a certain candidate and Hitler, because even if I think there are tinges of hyper-nationalism, populism, and even fascism in his rhetoric and the behavior of some of his supporters, bringing up such a comparison would be hyperbole and an oversimplification, and would only serve to entrench anyone I was trying to sway.
tl;dr Hitler comparisons are almost never valid and only serve to show you're an idiot if you use them