Tenor. Sullah would be the baritone, as would be the Nazis, except for the creepy character who looks like Peter Lorre. He should be a very high tenor. I’m not sure whom to cast.
The guy with the little round glasses? Definitely a high tenor. I agree.
With a big mixed chorus of Arabs, Egyptians, Nazis, and pretty girls from somewhere, maybe the Steppes of Central Asia! (In the first act!)
For the one scene in the Steppes of Central Asia, something along these lines would be nice....
http://www.youtube.com/watch?v=YoRJtgf-XkU