According to the dictionary definition of fascism (https://dictionary.cambridge.org/dictionary/english/fascism), Stalin's Russia was also "fascist", and won many wars, invading and occupying free democracies (Poland) for years.
A dictionary definition is not necessarily the correct definition. Almost all dictionaries these days have a "descriptive, not prescriptive" policy - they tell you what a word is likely mean in common usage, rather than tell you how to use a word correctly.
This is an especially big problem with a badly defined word like this,
The definition you linked calls almost any dictatorship as a fascism. The article makes difference between "random dictatorship, monarchy, what have you" and "fascism specifically". That being said, even by your definition Stalins Russia did not had that much of a racial component, so it might just be one of those that fall out.
The original article also does not really fit the Socialist Russia that much. It was seeking world domination and did not minded to start a war, but that is the thing - it was concerned more with reality of winning then with appearance of strength for aesthetic purposes. It had own machismo, it had disdain to intellectualism, but both did in fact limited its capabilities.
Far right totalitarianism and far left totalitarianism have a lot in common.