I don't know much about it but with what I know, let me correct you there bro. To join the Army, you DO NOT need a GC. You qualify for citizenship right away, right before you start active duty.

The other thing is, I am surprised you as a graduate in CIS are finding it difficult to get a job in IT. That's very strange.
Also, putting your determination, courage, and patriotism aside, Army will not give you even half the money you would make being a developer. But, if you are after imaan, ijjat, and prestige, there's a lot to grab.

Best of luck!!