This, I disagree with. The USSR was Marxist-Leninist and run by Soviets, not a fascist millitary dictatorship. Whether or not you or I believe the USSR was truly democratic or a betrayal of Socialist values is of little consequence when compared to the vastly different structure of Nazi Germany, which was a blend of corporations and an ethno-state.
The Empire appears to be more similar to Nazi Germany, where there exists a blend of corporations with a totalitarian state, rather than a command economy centered around worker councils.
I think it's hard to argue that the USSR wasn't a military dictatorship under Stalin. The USSR was hyper-nationalist and relied heavily on extensive police and military forces that used excessive violence to keep dissenters in line.
The USSR wasn't pursuing an ethno-state like Germany, but neither is the Galactic Empire. You might argue that despite the Galactic Empire being diverse in species, notably only white human men served as officers and leaders and dominated the military, but I'm not sure that's an intentional world-building decision rather than that's just how films in 1977 were made. I'm not yet aware if the USSR was known for being gender and race inclusive in its government or military structure either.
The USSR was a one-party state, and the state did own and control everything. However, this is fundamentally entirely different from Nazi Germany, which was a combination of corporations and a party owning and controlling everything in a totalitarian Capitalist manner.
It's reductive to call the USSR fascist, in my opinion. The USSR wasn't a shining beacon of tolerance and democracy, of course, but at the same time it absolutely was not fascist. The Russian Federation, that rose from the ruins of the USSR, is fascist, and run by extremely wealthy Capitalists.
As for equality in the USSR, gender economic equality was generally high overall, especially when compared to other nations, and especially in the military, but not within government. As for racism, it was apparently much, much better than modern Russia, so make of that what you will, but the state was seemingly mostly composed of white men. Homosexuality was made illegal by Stalin, I do know that.
Thanks, no problem! I think it's totally fine to be firmly against the USSR, for clarification, but I also believe that fascism should be as clearly defined and understood as possible, because in the modern era it poses a genuine threat, so understanding what it looks like and how it operates is key.