If a military pilot wants to fly civilian aircraft, he has two choices:
1) pass the FAA written & practical tests for the ratings & privileges sought, just like the overwhelming majority of civilian pilots, or
2) pass the Military Competency Exam. This is a FAA written examination that (if I remember correctly) concentrates on 14 CFR, Parts 61 & 91 & commercial operating privileges & limitations.
Passing the Military Competency Exam qualifies the military pilot for a FAA commercial pilot certificate with category, class & type ratings equivalent to the military aircraft he has been current & rated in within the preceding 12 months. In addition, if he is an instrument rated military pilot, the appropriate instrument rating will be placed on the certificate as well.
After getting an FAA commercial certificate, one just adds privileges and ratings in accordance with 14 CFR, Parts 61 or 141, as desired.
I had no significant problems transitioning from military transport helicopters to commercial flying. Many do, however.
It's my observation that those who have problems making the transition are carrying psychological baggage from the military world.
Commercial flying is more about making people comfortable with you than stick and rudder ability. Those who can't subdue their egos (or stop talking about what we did or how we did it in in the military), generally have difficulty adjusting.
With respect to how hours transfer from military to civilian flying, the pilots with the most foresight keep two sets of logbooks -- one for military flying and one kept in accordance with the rules outlined in 14 CFR, Part 61.
Unfortunately, myself included, most of us don't keep two sets of logbooks. When we go looking for work after release from active duty, we must somehow reconstruct our hours.
Generally, it's easiest to just add a factor to every flight to account for the difference between "takeoff and landing" and "when an aircraft moves under its own power for the purpose of flight and ends when the aircraft comes to rest after landing" To me, .3 per flight seems reasonable, but some employers allow different figures.
Good luck on your paper.