They'd probably elect some leader who thinks his food doesn't stink.
I was reading up on Paizos treatment of Otyugh and the concept of an Otyugh Moot which sometimes elects a leader.
Ha. The only political gathering in the world where calling your opponent a poopyhead is a compliment!

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.