The general theme of advice seems to be "Choose what you want to do, the airline time will take care of itself". I believe that to be true. Whatever choice you make, please don't become preoccupied with a "possible" airline job 12 years in your future!
There is one consideration I have not seen mentioned yet. I personally believe that the F-22/JSF is the last generation of manned fighters. The opportunities to fly fighters is dwindling. Even though you are young at the beginning of your career, you only have one chance to make this decision. You can go from fighters to heavies later, going from heavies to fighters is nearly impossible. Just my 2 cents, from a heavy guy who didn't get the chance due to the drawdown after Gulf War I.