Dog fighting is rapidly looking to become a thing of the past. The idea now is to build a plane that can shoot down the other guy, before he even knows that you're there. Engagement ranges are beyond visual, now.
The main reason I've heard for the 22 being picked (and I'm not saying my info is infalable) is that the 22 was built by the company that made the F-117 ahead of schedule, and under budget. The 23 was built by the same company that made the B-2 behind schedule, and woefully over budget.