To be sure, the success in the Sunni areas is real, but it may have greater long-term significance in the region than it does in Iraq. We've learned an important lesson in Anbar province: the Islamic-extremist message is a loser. Most Muslims do not want to live without music, television and, especially, tobacco. They don't want their daughters forcibly married to jihadis or their sons shrouded in explosive vests. That is certainly good news, but it's not enough. Indeed, the campaign against AQI may be among the last useful missions for the U.S. military in Iraq. We could drive out every last Islamic extremist, and the country would still be in the midst of a civil war that is trending toward chaos. And make no mistake: the U.S. colonialist insistence on dictating the shape of Iraq's future—framing a constitution, training an Iraqi army and the threat of a permanent U.S. military presence—has exacerbated the chaos.