Brass,
I'm ex military (AAC) and had no problem at all. All the offshore companies offered me a job. Admittedly it was a long time ago (and they probably regret the offer !!), but the big wheel has swung around again. They're crying out for people who are already trained/licenced and therefore cost them nothing except a JAR IR, which they'll be only too happy to do for you. You'll have no problem.
Good Luck Mate
NEO