Yes, in very specific areas, I would! I was contacted by a recruiter for an amusement park in Qatar, and send in my CV and application. Never got the interview though.
I'm also looking into some of the new projects in the United Arab Emirates.
So, no, I'm not afraid to move to the middle east, but there are only a couple of countries I would consider. As much as I love Persians, for instance, I wouldn't be safe in Iran.