Per my post above this one— Mussolini did not agree politically with hitler at all— the Mussolini govt. was a true Fascist one— (root word from the Latin Fascies).
Socialism within borders being socialism... World Socialism (as per Marx and Lenin) was of course Communism.
The spectrum of the the two Leftist “isms” can be observed within the post WWI battles between hitler and the german communists (who gained their foothold, with blowback operations from the original sponsorship and financing by the Kaiser... for the Bolsheviks to remove the Tsar (aided yet again by useless socialists of the Duma— like Kerensky). It is a sad history. And the commies still like to talk about Nazis as being “Right Wing”. The nazis were to the Right of the Commies-— but still were quite LEFTists.
There was no anti-Semitism in Mussolini's Italy, in fact, there were plenty of Jews in Mussolini's government, that was until 1938, when the Nazis demanded that Italy adapt Race Laws as a pre-condition for joining "The Pact of Steel".