I am not in favor of straight bans for ANY species, but I would LOVE to see VERY strict regulations for keeping certain species, primates being a big one.
Having worked in exotic mammal rescue, I've handled lots of animals most people never get the chance too (and been bitten by most). It makes it hard for me to decide on subjects like these, because for one, rescueing these animals that someone thought would make a good "pet" makes me very angry, especially when they mutilate the animal to try to control it.
But then again, what if I decide to keep one someday? I'm experienced, so its not a real issue, but not everyone is.
Strict policies on undomesticated animals is my vote.