Since you've semi-Godwined the thread, I'll take it the rest of the way:
Was Alekhine a Nazi? by Edward Winter
You're right, Fischer would not have shined Alekhine's shoes. Instead, Fischer would have mopped the floor with him. Alekhine had his own problems, especially alcoholism. By the time of WWII, he was a washed-up drunkard who played along with the Nazis in order to survive. Fischer was a better and far more creative player at his peak than Alekhine ever was. Had they been contemporaries, a match between the two, with Fischer railing against his imagined enemies, and Alekhine staggering around and pissing on the floor, would certainly have been interesting.