The difference between "order" of Stalin and "autocracy" of Hitler was minimal. What were the big real differences?
Oh, I'll bite.
It's true that there were many genuinely socialist elements to Nazi policy (there are some uncomfortable similarities between German and American domestic policy in the '30s, too). That said, the differences are
really big. The simplest distinctions to draw would be that Soviet Communism, even under Stalin, was essentially inclusive, whereas fascism in all its forms (but especially Nazism) was exclusive, and that Communism was progressive, whereas fascism was reactionary.
Communism had many failings and used unforgivably violent means, but its ends, at least, were noble (maybe misguided, but noble). The Communists wanted to organize the entire world into a peaceful, equitable, progressive society. They had a kind of teleological notion of history, believing that all of human society naturally advanced into more sophisticated, more just forms over time, and that each stage in human history (feudalism, capitalism) existed in order to give rise to the next, and they thought that if all human energy, creativity, labor, etc. could be harnessed in common and properly organized by the State, we could all live in a sort of earthly Paradise. It was practically religious, ironically enough.
The Nazis also wanted to create a peaceful, equitable society, but they intended for that society to be open only to ethnic Germans, and they were willing to enslave the rest of Europe in order to support it. Plus they wanted to murder a good chunk of Europe just for being different. They oriented their society towards Germanic mythology and ancient history, which is a big part of why people peg them as "right-wing." The same is true of the Italian Fascists, who oriented themselves towards ancient Rome, and of the Spanish Nationalists, who oriented themselves towards the Church and the monarchy. The Germans and Italians weren't Luddites by any means, and in fact were pioneers of all sorts of (mostly military) technology, but all the fascists were extremely hostile to
social progress. They all wanted to return their nations to past states that they perceived to be not just glorious, but also morally superior. Arch-conservative ends, even if the means sometimes looked like socialism.