flymia,
You're right that dedicated VIP crews tend to be very experienced. Don't know how well recruiters take to being told that you're there to train up for the airlines. For your sake, I hope USAF don't mind, and there are easier systems to turn your military training into an FAA licence than there are for us this side of the pond - 2,000 military hours with 1,500 as pilot-in-command to get an ATPL, as opposed to 1,500 civvy with 250 PIC (stands by for correction). If USAF flying rates are similar to the RAF, you're looking at a good ten years of your life to get that.
BCH