I think there is an officer taller than me, so he would get first dibs.
But honestly, who in his right mind would WANT the job? And I'm not talking about IMPD specifically; I'm talking about the top spot in ANY major city law enforcement agency. Lots and lots of politics and hassle, and even if you do an outstanding job, you're likely to get dumped if the Mayor gets in a crack and deems it expedient to dump you. I'd think being a District Chief would be PITA enough for anyone.