I should probably let an Air Force pilot tell you this, but it seems to me that you'd have to learn and retain even more stuff to fly for that organization than you would to be a CFI. And since all ops there are done "inna military stylee", we're talking details and precision. And many snap quizzes, including the occasional split-second life-and-death sort of tests, where you gotta know what to do, down to the last detail.
You need good study habits and an uncluttered mind if you want to move up the ladder as a military pilot. Not saying you can't cut it; just saying it's a poor alternative if you think being a CFI takes too much brain-sweat.
Of course, the Air Force will pay you to fly, which is a nice incentive...