Well, if we are talking about one united entity that in let us say 2030 will have a population close to 150 million and sit on enormous natural resources and hopefully by then be much more self-sufficient when it comes to technology, the military sector etc. then the answer is a no. Right now you have a lot of smaller GCC states that are located on the AP who have nothing to lose. It is in their own very interest to have American troops. Because how can tiny Bahrain protect itself from any neighbors? Permit an American base and the ruler is safe. Win, win situation.
But nevertheless even a united Arabian Peninsula would not be more than a regional and energy power with significant political, religious, cultural etc. influence. Not more than this. It would by no means challenge the main powers (USA, China etc.) despite the riches.
The only such entity from the ME who could MAYBE do that would be a united Arab world. If the Arab League member states became one federal entity. And even then they would need at least 20-30 years to truly rival the powers due to the need of improvement on those sectors I am talking about. If not much more and there would always be a potential for internal conflicts etc. That you don't see in USA or China.
But that's just my take on it.