If the U.S. had not intervened in the ME these countries would likely no longer exist - and they know it.
They are allies of convenience and for now their regal lifestyle is being protected by the U.S. This could easily change. These countries do not support us because of any shared values because there aren't any - except maybe the creation of wealth.
Saudi Arabia sees no conflict in assisting us at the same time they assist our enemies. I see no reason to believe the UAE are not capable of the same duplicitous behavior.
Do you mean all our military and economic help we've thankfully provided to Israel?
"These countries do not support us because of any shared values because there aren't any"
Have you been over there lately? The cities over there make Times Square look suburban. Their most popular restaurants are places like Chili's and McDonalds. There is a Starbucks on every corner. Their shopping malls put ours to shame. There is a satellite dish on every rooftop, and children wear Oakland Raider t-shirts. The biggest difference between most major Arab cities and major US cities is that you can walk the streets at night alone in the Middle East without getting mugged. The values of the average Arab are a lot closer to yours than you might think.
"Saudi Arabia sees no conflict in assisting us at the same time they assist our enemies."
Let me refer you to my first statement in this post. We've been doing the same thing for decades.