I can guarantee you that if any intelligent person had an ant plague in their backyard, their strategic response would not exclusively involve getting out a revolver and periodically shooting some of the ants roaming the surface. They also probably wouldn’t attempt to ‘open up a dialogue’ with the ants in order to better understand them or get their friends to denounce the ants on social media.
(Please correct me if I’m wrong and you have successfully eradicated ants with any of these strategies).
Knowing this, why is bombing rubble into powdered rubble with air strikes pretty much the only strategy used by world leaders against IS to date? Unless, of course, the strategy is to keep the ants?