We didn't bomb Hiroshima and Nagasaki because we were angry, we nuked them to avoid a costly invasion of Japan.
Japan was easy, they're right there on the map. Where is Al-Qaeda on a map that you can take them out with precision nuclear weapons??
AQ is on the map.. It's in Damascus, Cairo, Tehran, and frankly Baghdad, and several other places.
Look up the real situation out there. Learn.