Hitler's real ambition was to the East. He wanted their land and he had every intention of taking it. In truth as far as he was concerned, most of Europe was aryan in some form or other. Western Europe anyway. It was the 'sub human' Jews and Slavs he wanted rid of. His SS had no trouble kidnapping blond blue eyed Polish children and handing them over to Aryan parents and thus converting them to Germans. That was the madness of Nazism.
If the Nazis had won, Europe would have been converted into a series of Fascist regimes not unlike Hitler's Germany. They would have been vassal states of Germany but nominally independent. As would Italy and no doubt Spain. Britain could well have remained independent as would my country based on it's proximity to Britain but always at the whim of an all powerful Germany. To the East a concerted campaign of genocide against perceived Slavic sub humans, the Jews and Gypsies and their replacement by Aryans which would gradually Germanise Eastern Europe.
So would Italy be taken over? No, no need. They were already onside, just like all the other Axis countries and in truth many occupied countries would have followed suit. There were plenty of volunteers from occupied countries like Norway, Denmark, France, Holland willing to fight for Fascism.
No my main question about what would happen if Germany won, is what would happen when Hitler died of natural causes as he was bound to considering his ill health even in 1945. There was no natural successor and Hitler always ruled by making his followers work against each other. They were always attempting to put one over each other. They were essentially gangsters and inevitably when the big boss dies there's a gang war. I think the thousand year reich would barely survive Hitler's death even if the war was won.
