@JerseyFlight You've made good contributions here, but I want to take issue with your portrayal of the Soviet Union as a fascist or right-wing dictatorship. Much as it pains me to say it, I agree with
@ssu on this.
the tyranny you are referencing is Right Wing tyranny, fascism. It's what you get when individuals are put into power without a check on that power, it's what you get when individuals in power are allowed to execute any order they want and the people obey out of fear (see Arendt); it's what you get when you subvert democracy. — JerseyFlight
The Soviet Union was a Right-Wing-Dictatorship presided over by Joseph Stalin. Just like all good Right-Wing ideology the Leader was allowed to unilaterally make the rules and issue executive orders without a democratic check on his power. — JerseyFlight
This is the closest you come to explaining how the Soviet Union was right-wing. Something like this: a government or state is right-wing if it is undemocratic or totalitarian, or is run by a dictator. The Soviet Union was such a state, therefore it was right-wing.
The problem here is that this is not what right-wing politics is, assuming the conventional understanding of the term, which seems still to apply usefully despite shifts in usage. The politically right is conservative or reactionary: it seeks to preserve existing social hierarchies, or reintroduce past hierarchies. It argues that such a preservation or return is necessary, because those hierarchies are based on what is in some sense natural, and that attempts to improve on them or get rid of them are doomed to failure and chaos. "Right wing" is thus importantly ideological, i.e., it's not just about methods of governance.
It could be argued that the Soviet state was conservative in many ways, because it feared change and strenuously protected the privileges of the political elite. But the purpose of this conservatism, certainly for Stalin, really was to preserve the gains of the revolution by any means possible, and consolidate socialism. They really did think they were on the way to communism, although there was growing scepticism about this in the last few decades of the Soviet Union, when no such progress was evident. But even then, in the eighties, a man could rise to the position of General Secretary of the Communist Party who was a committed Leninist and believer in the communist future of the Soviet Union (of course, in the course of events he came to realize how naive he had been).
There's another way that the Soviet Union and Stalin might be characterized as right-wing: the targeting of ethnic minorities, e.g., the deportation of the Chechens, Kalmyks, Balkars, Tatars, and many others, and what became something like official anti-Semitism by the time Stalin died (a policy that was quickly reversed). I think this characterization is fair, but again it has to be balanced against the wider aims and in this case Stalin's paranoid handling of the war.
What I think we can say is that to the extent to which the Soviet Union was conservative or even reactionary (as with Great Russian chauvinism and anti-Semitism), it was so in the conscious service of a Left-wing cause, which by any standard makes it quite different from a right-wing state.
Many Marxists don't like to admit it, but Stalin was a committed Bolshevik, communist, and Marxist, popular in the party for his ability to get things done and absolutely dedicated to the cause. Even if many fellow-Bolsheviks, including Lenin himself, thought he was a bit rough and dangerous, he was one of them. And he felt this too: he was not a charlatan, using the Party and the apparatus of Terror to set himself up as dictator--this is a cartoon-like but sadly still popular Trotskyist fantasy--but had grown up in the Party and worshipped Lenin and his aims.
It was the apparatus of government, secret police, and the ruthless elimination of opposition that had developed in the revolutionary and Civil War period that Stalin inherited and extended.
After 1945, he did come to enjoy his role, and became a more self-conscious dictator, but until then he had seen himself to a large degree as a party worker sacrificing himself for the cause. Incidentally, this seems to demonstrate, better than the image of him as a dictator, the dangers of radical politics (note that I'm not condemning radical politics as such but appealing for self-awareness).
It's worth looking at what the Soviet state, and Stalin in particular, actually did when gaining and maintaining power (which they did genuinely believe was a dictatorship of the proletariat). Aside from merely maintaining power, all of their positive efforts were aimed at smashing capitalism and the remnants of feudalism and destroying the class structure, which in effect meant not only the confiscation of private property but also the literal destruction of the people of certain classes: the urban bourgeoisie and petite bourgeoisie, and the small landowners among the peasantry. As it happened, of course, the ordinary proletariat and peasantry suffered too, through starvation, terror, and compulsion. The fascists did not attempt any such fundamental reordering of Italian or German social and economic relations, because
they had vastly different aims, a vastly different ideology.
There's probably much more to discuss but I'll leave it there.
Please note that I'm not here arguing that
Marx can be blamed for all of that. I haven't made up my mind how to think about that question.
EDIT: you mentioned Arendt, but the importance of the term
totalitarian is surely that left and right can both take on this character in practice, that totalitarianism is a tendency beyond left and right.