Earlier quoted context omitted.
"A ground war has barely ever solved a problem in that region." Sure it has. Ever heard of the Ottoman Empire? Where is it now? What happened to it? What happened to Pharaonic Egypt? The Crusader States? The Achaemenid Empire? Carthage? Troy? Akkadia? Babylonia? Many others could be named; the history of the region is rife with examples of ground wars quite decisively solving problems in the region.
Huh? None of them had the power of videos online and twitter. The wide mass spread of ideas worldwide is what makes the 'idea' more potent than anything ground troops could go door-to-door to kill. We have to face it, we cannot shoot and bomb our way out of this. The wars you mention had battles drawn out on big fields. That hasn't been relevant in a century.
Okay, now you're just trying to spin. Naked force has settled more issues ("solved more problems", as you put it) than any other human activity.
"The wars you mention had battles drawn out on big fields."
What they had was an opponent willing to carry out a policy of utter destruction. ISIS doesn't have such an opponent. Yet.