Such thinking is the problem. This is asymmetrical warfare. Suppose that we had worried about making global enemies when we nuked Japan. The rest of the world still condemns us for that. So what? Some of us know that we must be ruthless and fearsome toward this enemy. Half measures only prolong the suffering of innocent Muslims as well. Ponder that.
One major difference:
Much of the military success we have enjoyed to date has been achieved by waging war specifically on the Taliban, not on Afghanistan. By identifying Saddam Hussein as the enemy, not all Iraqis.
Today, the vast majority of Iraqis want us to stay in-country until the job is done. Are these people "enemies"?