Even before the war started, this strategic opportunity was evident.
It's a spider's strategy -- attract the prey into the web and kill them. Better there than here.
At the same time, the terrorists cannot afford to stay clear. They cannot afford to have a democratic and economically successful Iraq in their midst. They must come into the web...
I also suspect there is another reason for the international peacekeeping force, beyond freeing up American forces for hunting down and killing terrorists in Iraq.
There is still unfinished business elsewhere. And some of the combat units will be pulled out, rested, refitted, retrained...then sent to kill more of the enemy in another location.
Iran, anyone? Syria? The Phillipines?
Kill them all.