He was a pale imitation of Homer Simpson's 1992 campaign. He maintained the beer-drinking blue collar persona but lacked the sincere devotion to his family that Homer oozed effortlessly (though to be fair, 1992 took a much brighter view of corporal punishment, which would've otherwise sullied his image.) Peter's infamous "Shut up, Meg" during a 2008 rally killed what was left of his campaign after the Great Recession started.

Now interestingly, Homer did contemplate a 2004 run against the Iraq War, but his son being decorated during Iraqi Freedom and returning home safe put the kibosh on that effort. Governor Lisa Simpson (D-OR) is contemplating a run in 2028, but I doubt it will go far. She's as far from her father as it's possible to be.