No, not even close. The theory of Nazism and Communism as "twin evils" originates with Double Genocide Theory, a form of Holocaust trivialization and Nazi apologia. The USSR was a dictatorship of the proletariat, those oppressed were the Bourgeoisie, Tsarists, and the Nazis. It isn't a matter of simply saying "socialism," it's taking an honest look at history. In reality, there is no comparison to Nazism, which invented industrialized murder and sought to colonize Europe and the world just as Britian, France, Germany herself, and other Western countries had done to the Global South.

I suggest you read Blackshirts and Reds.