Let me rephrase my post....I would advice that you make sure you have a budget in mind which includes a savings plan and future planned purchases in the next 3 years and any changes in housing. If you are able to buy the car, save adequately and pay the car off in a term that you are happy with, then maybe.
Here is situation I have seen before, having been in the military also. A car, really nice car, is purchased. It's great. The payment isn't a problem, "I can handle it." Though it doesn't leave a whole lot left over.
The insurance payments roll in. Then gas prices add up. End of the year new tires are needed. By the way, I'd really like that new stereo and Plasma....."I can put it on a card....I can handle the payments."
Now it's time for transmission servicing, alignment services. "hey, let's go to Vegas/Cali/etc...." no problem.
The point I am making is this: the cost of a car is not limited to the payment. It includes insurance. Fuel, maintenance, tires, potential repairs after manufacturer warranty, etc.
When you squeeze you budget just for a car, eventually most people want other things....electronics, computers, Plasma, stereo, etc. And if you are spending a large portion of income on car payments, it may become easier to put other things on cards to make the more meager amount of income left over go further....the minimums.
I am not saying that you will fall into this rut, I am just advicing that you consider your finances not just today, but next year and the following....consider savings, investments and cash reserves....other purchases you are likely to want to make in the next 1,2,3 years and the true cost of ownership of the car.
What if you get serious in a relationship and want to get married or move into an apartment or other housing. While you may get some housing compensation or food compensation, it is not 100% of the cost.
What about vacations? Or other things you might want to do. If you are set on getting the car, you are set. I am only providing food for thought, because "having" is sometimes not as great as the "wanting" and once the initial high wears off and the payments keep coming in and choices are limited....ouch.
If you can save $7000 in a few months, why not wait a little longer and put much more down so that you have a lower payment? If you managed to drop $15k down by really saving up, you would have better finance options, better rates and a much more manageable payment that will no squeeze you so much. Being in the military, single, on base housing, chow hall, no med costs, etc. is the perfect place to SAVE.
I had a friend who never spent a dime, when I was at Fort Bliss, or it seemed he didn't....but one day he shows up with a new car. He had saved up, every penny, then paid cash. Then he turned around and put the equivalent of a car payment every month back into savings. He didn't pay any interest, got a great deal. Now this may be more extreme than most will go, but it is an example of the opportunity somebody has in the military.
Whatever you decide, good luck 
That's what we are all here for....good luck and our prayers for your safety go out to you.
