The similarities you notice probably arise from the foundation of fascism, Mussolini’s creation. Mussolini himself was a socialist, a syndicalist, specifically. From one of the more libertarian strains of socialism gave birth to his totalitarian ideology, the state everything, man nothing. Fascism under his regime was national syndicalism, where there isn’t proletarian dictatorship nor even class abolition, but instead, class collaboration, and both the bourgeois and the proletariat are afforded their respective syndicates. There is never a socialist end goal in mind here.
Mussolini as a fascist was inherently anti-socialist and anti-communist and one of the first moves of his reaction was to capture and execute these political rivals, or his former colleagues.
I think there are fundamental differences between fascism and socialism and they are clear opponents on the political spectrum.