Whaddya think?  It would take a shitload of effort to put it together.  Here's my idea.  A friendly competition made up of teams representing each branch.  Number on each team to be decided.  Each team brings a few events of their choice.  Forced march, land nav, first aid, etc.
The shooting part I think I can provide.  At a local range is a 100 yd rifle range.  We could time it to coincide with a Tactical Carbine match in Johnson City, TX.  This is put on by Texas Tactical of this board.  Maybe we could also get him to do an IDPA match just for us.  Or I can maybe get my friend at the range to close part of the range, build my own props, and get him to run it.  Many many possibilities with many many potential probs.
Now, I'm shootin' for some fun here.  I know if I'm on the Air Force team, we're gonna be hurting if there's a 3 day comp.  I'm 45 and know I can't keep up with someone half my age for three days.  I'd guess two, tops.  BWTF.  HAHA!  This could be fun.  Anyway, whaddya think?

edit:  Heck, even teams that have never been in the military could enter.  Your chance to try and learn something new.

Paper windmills?

Excellent idea. No chance of that here in NJ[:(]