You apply pressure through international diplomacy. If that doesn't work you impose sanctions. If that doesn't work, you deploy a multi-national task force but you should never be so arrogant as to think you can, "go it alone."

Somewhere during the diplomatic negotiations you find out what the terrorists are demanding and why. Together you work on a solution thats agreeable to all. That doesn't mean that one side gets everything they want. Both sides have to compromise. I am a great believer in effective problem solving. War doesn't solve anything.