No, I think it would be something more along the line of medieval torture humiliation and finally death!!!
No, this wouldn't serve any purpose in terms of discrediting Nazism. The point, after the war, was to complete destroy Nazism as a political force in Europe. Executing Hitler would already hold the danger of martyrdom, and practicing bloody barbarism would simply exacerbate that potential.
If Hitler was captured alive, regardless of who captured him, he would end up at trial and they would make sure to do everything right to avoid the possibility of it being seen as a circus trial.
Of all the Allies, Stalin was
most keen on this sort of thinking.
The Americans initially wanted to implement the Morgentau Plan, which involved hundreds of summary executions of top Nazi officials and the enslavement of German POWs to raze German industry under a plough and reinvent the country as an agrarian one. Churchill, too, wanted summary executions of the most visible leaders - to which Stalin (ironically!) responded, "In the Soviet Union, we never execute anyone without a trial." Churchill responded, "Of course, of course. We should give them a trial first." By Febuary of '45 everyone was on the same page, and all three leaders issued a statement supporting fair trials for the accused.
Well, it only seems ironic. Stalin was nothing if not a cold calculator when it came to propaganda. He hadn't maneuvered his way to the highest office in the USSR using martial arts, extreme fighting skills, or a large iron mace, but through political shrewdness.
Also, to correct a faulty impression everyone seems to have in this thread: the Nuremburg Trials were not run by the Americans, nor even by the combined Western Allies, but by
all the Allies, including the Soviets, under the Charter of the International Military Tribunal, and featured one primary and one alternate judge from each of the three major Allied powers. The only real dispute was over the location. Stalin wanted it in the capitol at Berlin, the Americans wanted it in Nuremburg where Hitler had held his rallies and where the Nuremburg Laws had been proclaimed. So the Soviets wouldn't be handing him over to the Americans ... he would just go to the Tribunal with the others.