I would not start a PhD in Middle Eastern studies without significant Arabic or Persian training (insert languages). It sounds like you want a well-paying, guaranteed job at the end. That's not going to happen, even if you are a superstar.
What you need to do is enroll in an MA program in a "Center" (Center for Middle Eastern Studies/Center for South Asian Studies). Figure out if you can learn the requisite languages and do the work. If you perform well, apply to a PhD program.
If you want a guaranteed job, you should look beyond the humanities.
If you want to do Middle Eastern Studies/Islam, you should be applying to Princeton, Chicago or Michigan, in that order. Princeton only takes a couple folks a year. Chicago takes a few more. Michigan, even more.
Depends on what you are planning to do with ME studies. I wouldn't got to Princeton or Chicago for modern Middle Eastern topics, though they are great for early Islam, medieval, and pre-modern ME studies. IMHO NYU, Georgetown, and Columbia are stronger for the modern period.
I do agree going to a Center would be the way forward for someone without preparation.