There are obviously many more than two spectra of political beliefs. The two-axis scheme of the political compass is really not much more sophisticated than a single right-left scale. And appealing to the political compass as if it is some sort of factual or real thing is frankly silly. Personally I generally find the work of sociologists to be a lot more valuable than the work of political scientists, but whatever floats your boat I guess.
Sociologists are good at sociology. That's not politics. I agree that the political compass is relatively arbitrary. How is your claim, that; "authoritarianism = right-wing" any different? The political compass is, quite literally, twice as sophisticated as a left-right axis, since it has twice as many axes. If you want to add a bunch more, I'm game, but I don't know which journal will publish it.
You're making arguments you know are silly because you know you're wrong here. The authoritarian nature of the USSR was embodied by almost every aspect of its political economy and social life. There was a police state with secret police force operating completely outside the law, informers, denunciations, show trials, a network of slave-labor camps hosting millions of people at any given time.
On the contrary, I'm right. If I wasn't, you wouldn't feel the need to invent strawmen to burn. I never said the USSR wasn't authoritarian. It self-evidently was. It must be really easy to beat my arguments when you invent them yourself.
"We're returning to a past golden age" is a propaganda pose, it's not a substantial feature of a society's political economy. If they are actually restoring past social relations in some concrete way that is a different story.
This argument is better, but it still fails. While Hitler and Goering were more sophisticated, many other leading Nazis legitimately believed they were
recreating Germany, not creating a new one. Nazism was explicitly based on anan imagined past. Communism never was. Fascism is not so clear, as it tends to differ from state to state.
"Inevitable, natural, normal, or desirable"
If you believe that they are inevitable, natural, and normal, whether they are desirable is sort of beside the point.
Only an idiot believes hierarchies aren't natural. If they weren't, they wouldn't exist. The same with normal. Inevitable? Maybe, but that kind of depends on the society in question. This is neither right nor left. This is simply historical fact. No society has ever developed that was not hierarchical, and most left-wing politics, except certain anarchists, believe in some form of hierarchy. As I said, you can't classify everyone right of Rosa Luxembourg as right-wing.
What point to that? You signaled you weren't interested in any real discussion when you began insulting and condescending to me (and btw you were far more condescending and insulting than inno was). The core of our disagreement is that you expressly believe that hierarchies are inevitable and so left-wing politics cannot possibly be defined by opposition to hierarchy (as well try to jump your way out of gravity I guess), while I believe that hierarchy is not inevitable and that the fundamental characteristic of left-wing politics is opposition to hierarchy. The notion that hierarchy is inevitable is imo thoroughly falsified by modern anthropology and archaeology as pre-state/pre-agriculture peoples clearly lived in egalitarian societies without any clear elite element. But the other aspect of the disagreement is interpretative and won't be settled empirically, which you've already implicitly conceded with the phrase "opinion-based" in your denunciation of wikipedia.
Another strawman. Never said hierarchies were inevitable. If I'm condescending, it's because you deserve to be condescended to right now. And I never said that about left wing politics either; left wing politics is often in opposition to existing hierarchies. But it cannot be defined by them. If it is, political dissidents are left wing until they take power, when they suddenly shift right. Ridiculous.
There is literally zero legitimate anthropological research indicating any of your claims either. Prehistoric societies were
more egalitarian than modern ones, but that doesn't mean there were no elites, even if the mark of elite status was simply "got to wear the nicest cloak, first pick of wives when raiding neighbour's for women." The reason for this is debatable; I tend to believe it has more to with the lack of goods with which to conspicuously Mark your elite status than anything else. But unless we invent a time machine, we'll never know for sure.
And, uh, I also note you don't actually acknowledge the fact that I demonstrated that
Wiki page you quoted. was misleading. Which is why you should never get definitions from
Wiki.