My thoughts are your head is telling you what all the rest of us are already thinking and saying. Dump this chick, run like hell, and never look back. Otherwise you wouldn't have sought our advice and posted here.
Your heart on the other hand is telling you she is worth it, you want to spend the rest of your life with her, and you don't know that would be able to live with yourself if you don't give love a chance.
Well if you follow your head you may look back and wonder what if, and it will sting a little. But you will be a pilot you will be making decent pay, and you will have tons of career opportunities. Oh and most of the decent women out there that can handle being married to a military member find those things to be positive attributes.
And if you follow your heart. You will be divorced within a few years when the "LOVE" fades, and it will be because you weren't realistic. Then in your head will be thinking man I should have dumped that chick, ran like hell, and never looked back. Except now you may have pissed away your career, she has taken off with half your shit, and maybe even your kids if you two ended up having any. Oh and the decent women out there won't find any of that shit attractive.
That said it is your decision to make. Think with your head or think with your heart.