Unless you are in a position to operate multi-crew, I think you'll have a tough time 'converting to JAA ATPL!
Attendance at an FTO is mandatory now. Suggest you refer to FCL 2 (JAA). If you can get a job flying corporate on an FAA reg in the UK, chances are it'll pay alot more than Police/HEMS.
Military background IS desireable...and you are up against alot of UK Forces 'Chaps'.
Good Luck with your plans.