I can go into even more similarities, say, for example, domestic espionage (exactly how were Stassi or the NKVD different than the SS?), women's rights (get in that kitchen and make babies and take care of the home!), gay rights (none), freedom of expression (none), the right of free travel (none), the ability to practice one's faith (or lack thereof) without state interference (none), in communist or fascist countries. The fact is that persecution is persecution. It doesn't matter what type of propaganda you use to justify it.
The fact is that extreme political ideologies may sound like they're different but in the end brutality and criminality that marked those regimes is the same. The history of political thought is filled with people adapting their ideologies to the real world and in the end producing results which seem drastically different then their own ideologies then forcing themselves to justify it (e.g. look at the debate over the Affordable Care Act. A liberal American president supports Bob Dole's idea for reforming America's healthcare system!). In the end what matters isn't ideology but actions. When judged against each other Fascism and Communism produced the same results. Sure, there are plenty of people out there who tell you that not all communists are equal that the Soviets, Mao, Castro, or the Kims "got it all wrong," you cited some examples yourself. While I haven't really researched it I suspect that there are as many neo-fascists who say that Hitler, Franco, and Mussolini didn't do fascism correctly either. But that doesn't matter. In the end both communism and fascism rely on drumming up conflicts between groups of people then using these conflicts to justify persecution.
In the end the two ideologies boil down to this: Who's causing your problems? Jews? non-Aryans? Bankers? land owners? the kulaks? etc.? Well then do as your told and it'll all be better - or else.