Hitler didn’t call himself a Socialist. And the party’s name “National Socialist German Workers Party” was just as propaganda as the name of the ruling party of today Burma is: “State Peace and Development Council”.
I think what causes this argument in the first place is that there are somewhat different definitions in the US and Europe for “leftist” and “rightist.”
While Hitler didn’t posess the (apparent) love for all races that US liberals claim to, he did take state control of almost everything. So there is a socialist element there although not the same as European socialism.
He proudly wore the label "Nazi" which proudly includes the term "socialist".
And the party’s name “National Socialist German Workers Party” was just as propaganda
How exactly was it propaganda? They didn't try to represent or care for German workers? They didn't cook up the Volkswagen? Cheap vacations and free health care. They didn't set wages and prohibit employers from making layoffs?
Now, non-German workers, maybe, didn't do so well, but the party wasn't calling itself the "National Socialist non-German Workers Party".
Propaganda or not, in terms of government control, centralized party control, elimination of individual freedoms, Nazi Germany was a socialist economic system. Your definitions of left vs right are completely wrong, which is why you perceive various aspects of Nazism with right-wing when in fact they have nothing to do with left vs right.
Hitler's speeches show that he thought that the Bolshevists were not Socialist enough.
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"And if we ask who was responsible for our misfortune, then we must inquire who profited by our collapse. And the answer to that question is the "Banks and Stock Exchanges are more flourishing than ever before." We were told that capitalism would be destroyed, and when we ventured to remind one or other of these "famous statesmen" and said "Don't forget that Jews too have capital," then the answer will now be destroyed, the whole people will now be free. We are not fighting Jewish or Christian capitalism, we are fighting every capitalism: we are making the people completely free."
"While now in Soviet Russia the millions are ruined and are dying, Chicherin - and with him a staff of over 200 Soviet Jews - travels by express train through Europe, visits the cabarets, watches naked dancers perform for his pleasure, lives in the finest hotels, and does himself better than the millions whom once you thought you must fight as 'bourgeois.' The 400 Soviet Commissars of Jewish nationality - they do not suffer; the thousands upon thousands of sub-Commissars - they do not suffer. No! all the treasures which the 'proletarian' in his madness took from the 'bourgeoisie' in order to fight so-called capitalism - they have all gone into their hands. Once the worker appropriated the purse of the landed proprietor who gave him work, he took the rings, the diamonds and rejoiced that he had now got the treasures which before only the 'bourgeoisie' possessed. But in his hands they are dead things - they are veritable death-gold. They are no profit to him. He is banished into his wilderness and one cannot feed oneself on diamonds. For a morsel of bread he gives millions in objects of value. But the bread is in the hands of the State Central Organization and this is in the hands of the Jews: so everything, everything that the common man thought that he was winning for himself, flows back again to his seducers."
"So long therefore as the Socialist idea is coined only by men who see in it a means for disintegrating a nation, so long can they rest in peace .... But it will be a sorry day for them when this Socialist idea is grasped by a Movement which unites with it the highest Nationalist pride, with Nationalist defiance, and thus places the Nation's Brain, its intellectual workers, on this ground." ."
"1. 'National' and 'social' are two identical conceptions. It was only the Jew who succeeded, through falsifying the social idea and turning it into Marxism, not only in divorcing the social idea from the national, but in actually representing them as utterly contradictory. That aim he has in fact achieved. At the founding of this Movement we formed the decision that we would give expression to this idea of ours of the identity of the two conceptions: despite all warnings, on the basis of what we had come to believe, on the basis of the sincerity of our will, we christened it 'National Socialist.' We said to ourselves that to be 'national' means above everything to act with a boundless and all-embracing love for the people and, if necessary, eve to die for it. And similarly to be 'social' means so to build up the State and the community of the people that every individual acts in the interest of the community of the people and must be to such an extent convinced of the goodness, of the honorable straightforwardness of this community of the people as to be ready to die for it. -----------Adolf Hitler, Speech of April 12, 1921