Well lets look at the current president character on the show. I think it realisticly shows how the Peter Principle comes into play.
False conclusion: he's the first male character to "go stupid" on us. Even the baddies and coup-organizers didn't "go stupid". They may have been the bad guys, but they had brains. Sure they made mistakes and got caught, but none of them even approach Kate and Audrey on the "stupid scale." Let alone, Kim.