There are in my opinion two options for "stable" relations between the West and the Middle East:

• The Ann Coulter "Invade their countries, kill their leaders, and convert them to Christianity" option
• The Star Trek "No interference with their social, cultural, or technological development" option.

Since the US wasn't founded as an Imperial project (despite it now being one) my personal preference would be the latter, though the ship may have already sailed on it being a viable option.