Military air service is totally unacceptable, it sounds really crap, and does give the impression of a back-street helicopter repair service.
Irish Air Force is the way to go, with suitable equipment, of course.
Why this concern with what it is in Irish?
The newspapers will spell it Irish Aer Force anyway. After so many years they still can't get the present name right.
BTW the name did change, it was originally Irish Army Air Corps.