Numerous news outlets have reported that the U.S.-led coalition operating in Iraq and Syria may have injured or killed the overall leader of ISIS, Abu Bakr al-Baghdadi in an air strike near Mosul. If this is true, it is welcome news, but it will not signal the end of the movement. Instead, this is a significant part of the overall military strategy to apply broad pressure to ISIS and halt its momentum. Over the long run, stopping ISIS will require alleviating the underlying conditions that drive violence and gave rise to the movement in the first place. While the outside world can help create the necessary conditions, only repudiation by the local population will kill ISIS.