There is no second analog nub because it's the same hardware with different plastic on it. There is space for it where the big star/select buttons are, but it probably wouldn't be comfortable for gaming.
Maybe a Saw type game where you play as a Jew in a concentration camp would be cool. Prison Break - The Game, but you have to escape from Auschwitz that would also has a multiplayer where the other team plays as guards. Or are you thinking more of a Left 4 Dead mode where everybody plays as Nazi guards where you could just slay hordes of Jews from the fire tower as they try to escape. They don't even havo to look all that jewy with big noses and shit, controling all the media, just some monsters/deformed humanoids, greedy for freedome, to shoot at.
If all this is too controversial, maybe just a CoD clone published by Konami.