I can see Hitler probably trying to claim that actions taken by the Allies during the war (bombing of civilians, unrestricted submarine warfare against Japan, etc.) were no less horrible than what Germany did and that the Allies' had no to put him on trial due to him being the legitimate head of the German state. Problem there is there's no way for anyone in Germany to remove him from power legally; about the only way he could be removed involves either a bullet or bomb. Concerning the Holocaust, while he may not have known exact details in order to create plausible deniability, he create the regime that allowed it to happen, and all other atrocities carried out by the Nazis happened under his watch. Finally, he was the one who started the war.
End result: Hitler and Himmler both go to the gallows while Goebbels MAYBE gets a lengthy prison sentence, but considering he was essentially Hitler's mouthpiece, it's more likely he's sentenced to hang as well.