"Complete victory is the destruction of AL Qaeda in Iraq and hence its destruction around the world."
What evidence/argument do you have that the destruction of Al Qaeda in Iraq would precipitate the destruction of Al Qaeda around the world, much less the destruction of the dozens of other jihadist organizations dedicated to the elimination of the US and western civilization in general?
You state a conclusion based on what appears to be a shakey premise.
Since I know the Middle East very well because I was born an raised in Lebanon during 15 years of civil war and witnessed the horror of terrorism for many years I know exactly what will happen to islamic terrorism once they are defeated in Iraq. Arabs in general are cowards and they will stop fighting once you put enough military pressure on them. Once we defeat them in Iraq, they will continue make all the typical Arab rhetoric that they are victorious and that they won but in reality they will not dare to fight us again and for a very long period of time.
I am not saying that our complete victory in Iraq will totally annihilate terrorism from existence, but our victory in Iraq against AL Qaeda, Syria and Iran will crush islamic terrorism for many decades to come and their danger to us and the world will be greatly reduced.
Once we win in Iraq, I expect the terrorist regimes in Iran and Syria to collapse rather quickly and an Air War against Iran to destroy their nuclear facilities and military infrastructures will even make the collapse much faster.