Has anyone ever won a war with air power alone? Arguably the 1999 bombing campaign of Serbia - but then you could argue that that is notable specifically as an exception, and had some special circumstances surrounding it which don't seem to be present with IS. See https://en.wikipedia.org/wiki/NATO_bombing_of_Yugoslavia#Arguments_for_strategic_air_power
Has anyone ever won a war with air power alone?
There are boots on the ground, it's just that they are not Western. Having Assad, the Kurds, and the Iraqi government finish off ISIS weakened by air strikes looks like an acceptable solution to me.
Here's my op-ed that uses long-term orientation, probabilistic thinking, numeracy, consider the alternative, reaching our actual goals, avoiding intuitive emotional reactions and attention bias, and other rationality techniques to suggest more rational responses to the Paris attacks and the ISIS threat. It's published in the Sunday edition of The Plain Dealer, a major newspaper (16th in the US). This is part of my broader project, Intentional Insights, of conveying rational thinking, including about politics, to a broad audience to raise the sanity waterline.