...as a pretty good source of info on FDX newhires, I can say the idea that FDX hires only (or mostly) military is horse$hit. We hire corporate, regional, other airline guys, and some really different backgrounds. The "the always hire military.." is a double edge sword, as there have been more than a few guys who walked in here thinking it was automatic since they flew in the military and knew "so and so" here but still ended up with a "no thanks" letter in the mail.
FDX wants quality, leadership, experience, and work ethic. Only a 2-ship flight lead after 800 hours in a fighter? Someone may say "hmmmm.." Ever been an LCA or Sim IP at a regional? Guess what--they seem to like that. The traits I see successful candidates have at FDX is they GO ABOVE THE JOB MINIMUMS when it comes to qualifications. There are plenty of average line guys who've been hired here, but the ones who seem to sail through are the dudes who have done that extra type of stuff.
Wanna get civilian numbers up an airline? Start an airline specific (Mesaba, Pinnacle, ASA, ATA, World, etc) network list and support one another. Nobody gets hired anymore being the lone ranger--it takes a lot of help.