surprised i didn't read more of the "if you're heart isn't in the military, then a flight job might not be for you" yet....It'd be something to consider, as many posters on here typically say, in the military your flight time is considerably low, and much of your time is spent doing non-flying duties, as a result, it will take much longer for you to reach those major airline minimums, however, when you do, you'll probably have enough connections and quality flight time to get the job.
I'd just worry that if you have no real interest in military flying, or the military lifestyle, that you'd enjoy being part of the service, day in and out, for years at a time.