I totally agree with Alloha,
Slaveaway is young, single and with a common pilot's ambition of riding a big widebody.
I think you have a life ahead and joining QR, EK or EY is a good step to fly nice airplanes, get to know the world and due to their fast expansion in the upcoming years I wouldn't be surprise you will end Up left seater in less than a decade.
How long would it take that to achieve it in the U.S.?
I would say not less than 20-25 years even with the current situation (lot of hirings, pilot retirements, etc...)
Top of that, conditions are very good in the Middle East. Forget about complainers, most of them take things for granted and do not appreciate what God have provided them and their families before stating EK or QR is a hell place to work.
Go ahead with your applications buddy and good luck on your flying career!!!