Since I'm a Disney Tech with a previous pyro background, I could probably help you a bit with this. Military experience has nothing to do with it. I'm also ex-Air Force, but I was Intel and the most "explosive" thing we handled was a M-16. I do have 7 years of pyrotechnic experience from back in Texas (Texas has a state pyro license requirement as well - Florida does not). The main things they want to see as a technician is basic knowledge of lighting and audio mainly. They are willing to teach you the rest (on a base level). I was a special case since experienced pyrotechnicians don't really grow on trees (since you can't really go to "school" for fireworks and stage pyro like you can lighting and audio). I had a meeting with two of the pyro operations managers and they got me in based a lot on my pyro experience. Now, saying that, I STILL have to go through the two day pyro class with Disney before I'm allowed to touch any product. Disney runs a higher standard of safety than most places (most places use the NFPA as the standard, Disney exceeds those requirements). As a tech, you will need FULL availability, willing to work overtime, and willing to learn things that might be out of your comfort zone. Pyro at Disney is amazingly safe compared to what many pyrotechnicians are used to. Once you take the classes at Disney and pass, you will get a "pyro card" which allows you to work with pyrotechnics at Disney.
Techs get paid better than most positions at the park and are "global" so you can work at just about any of the four parks. You also get certain premium pay when doing certain jobs (like pyro or training). My suggestion is to learn as much as you can about audio and lighting (don't get too technical, but know the basic functions and items used) and maybe briefly learn a bit about pyro. Most of all, start networking with cast members - they can refer you and offer advice.
