The lesson was clear: A European power could come to the region and do what it pleased, and only another European power could get them out. Thus began the game, so to speak, of playing European powers off against one another.
For two centuries or more, the scenario remained the same -- though the players were sometimes different. In the final phase, the players were the two superpowers, the Soviet Union and the United States; and Middle Eastern leaders used the skills they had perfected over two centuries in playing them off against each other.
Then, suddenly, it came to an end. The phase in history that had been initiated by Bonaparte and Nelson was terminated by Bush and Gorbachev. Suddenly, there was no rivalry; there were no rival powers. First one and then the other seemed disinclined to play the Imperial role -- the Russians because they couldn't and the Americans because they wouldn't. Some Muslim leaders are trying to keep playing the old game, and so are seeking another power to play off against the West, as it is embodied by the United States. The prime candidate is the European Union, or at least some parts of the European Union where there is a negative sentiment regarding America. Unfortunately, for those who pursue this policy, even if the Europeans have the will to play this role, they lack the ability.
Maybe the prime candidate is not the European Union, but China.
I think you're right. Playing the US against China makes a lot more sense.