I'm not entirely sure there's any truth to this, but in case you're unfamiliar...
There is a story that while Bugsy Siegel was in Italy he was at a party which was also attended by Goering and Goebbels. All the sources I could find mentioned he disliked the men (and not just for political reasons) and decided either to kill them or have them killed. It's not far out to assume the party took place, and knowing Bugsy, his plan to kill them is worth entertaining a little bit.
So...
What if Bugsy had killed Goering and/or Goebbels or had had them killed?