Well: You might not want to hear this, but...
...but, the answer to you problem can be found at the nearest Armed Forces recruiting office.
The folks there will tell you how to sign up for a hitch and at the end of it (if I'm not mistaken), you will be able to apply for citizenship. It used to be that way, anyhow; may be different nowadays. But at the least you will be able to stay in the States for six years while your hitch is running (or at least, that portion of the six years you won't be deployed overseas fighting the WOT).
If you qualify, you might even become a military helicopter pilot...Army is your best bet for that, as I don't believe non-citizens can become commissioned officers. This is another question the recruiter can answer for you. You might get another opinion from the folks at the nearest college ROTC office on the latter question.
Anyway, this is your ticket, if you want it bad enough I suppose you'll consider it. If not, best of luck back in Ireland.