I blew out my ACL some years ago. Thankfully our team orthopedic was very progressive and suggested that I not get it operated on. 14 years later I think we made the right decision.
I've got a couple of friends that had their ACL reconstructed and they are all limping around today. Whereas, my right knee doesn't have an ACL, yet I'm moving around pretty good, much better than the guys that had reconstruction.
The thinking is this, it is better to make the other 3 ligaments around your knee stronger and go about life with only 3 of the 4 ligaments. Than to have your knee cut wide open and have a cadaver ligament put in its place (possible infection, etc). Of course this was 14 years ago, before all the lasers and such that make the recovery easier.
Unfortunately I don't know how this will affect your military career. I do know that I have no problem jogging 5 miles a day and skiing or doing other activity.
The bottom-line is that you may want to have a second opinion regarding having your knee cut wide open.