Let me ask you this: if a country would come into the US and start razing cities and towns, would that break your will to fight? Or would that just inflame your desire to see of the invaders dead?
The problem with your approach is that it defeats the purpose of killing terrorists: it creates more than it kills. The only way you can actually succeed is if you wipe out every opposing person - and in today's connected world, that will very quickly be everybody but you and your buddies. Are you willing to go to war with the entire world? Even if they drop nukes on you?
Carthage worked because it was a city state surrounded by a desert. There were not enough people to take the side of Carthage once it was destroyed. But you won't find that today anymore.
WW1 and WW2 are interesting examples, where a local superpower thought it could win a total war.