Thanks for the advice Dallas. Unfortunately there is no chance I'll be able to get a job at Brize to get military experience; the role I do just doesn't give me that opportunity.
To answer your question lightening, I'm not a military air trafficker, I'm a fighter controller. We control aircraft and are still governed by the same rules that area controllers are, but we also do the tactical part.
I'm thinking of writing to a few companies, explaining who I am and asking for their advice. At the worst they'll just ignore me. What do you think?