Many have weighed in to argue that that's impossible, and if you are talking about exterminating the organization, it may well be true. At the moment though, that's not the problem it presents. That problem is that it's a coherent, effective fighting force that's conquering territory, committing genocide, and threatening our allies. That can be dealt with, and we know very well how to do it. Unfortunately, the strategy and tactic require an effective ground force.
Kosovo and other examples showed once again that air power is rather ineffective against dispersed ground forces. Consequently, it's necessary to force those ground forces to concentrate at which point air power is crushing, at least in open terrain. That kind of concentration requires a determined advance by forces on the ground, at which point the enemy must either surrender ground or concentrate in order to resist.