Stupid question, really dumb answer.
There are other nations pumping crude oil (see one of the posts above for a short list). The Middle East would be just another sand box, granted a very large one, if they didn't sell their crude oil.
Especially since, without oil exports, the combined economies of the oil-producing states in the Middle East roughly amounts to...Finland's.
If you're an Arab state in the Mideast and you ain't pumpin' oil, you ain't doin' (or earnin') squat!