First, Anthony, let me say THANK YOU for your service to this country!
While I did not serve in the USAF, I am a licensed Instructor/Coordinator in the State of Michigan. This topic has been discussed for quite some time, and the biggest hurdle in the past was getting the services to give the state the information on EXACTLY what you were taught in the military so we can give proper credit for that knowledge base. I have been out of the loop in where that all came down, especially since we went to the National Registry for the testing for the licensing that is necessary.
I am sure that you have a lot of the necessary knowledge, but there are some obvious differences between military and civilian emergencies (especially if you think of the majority of calls we do in civilian EMS as "emergencies!") as well as legal differences and necessary administrative items and such that would also need to be addressed.
Unfortunately, I believe that my best advice is that if you are interested in the field of EMS that your previous training will make the necessary civilian training much easier and less stressful for you!
I also have been a director of an EMS service and am a current volunteer Fire department Chief, so I would add the respect and work ethic you should have acquired should do well for your future success in whatever field of work you choose!