Good question, I'm sure they have plans and counterplans for every possible scenario though. We already control the air, communtications would come next, then we would take out any heavy equipment and artillery they have. Getting TO Bagdahd won't be a problem, not sure of their approach once there. We could fly in the French, their stench might drive the Iraq people away, but they would probably strike lucrative deals for Iraqi hygeine products. From what I have read those that have stayed SAY they will fight, but I doubt there will be that much resistance. Don't forget though that owning a gun is legal there, most citizens do, and they have been stockpiling weapons and ammo themselves. The republican guard will more than likely help defend the capital as well, that will make our job a bit easier. We will have the ability to claim all munitions were fired directly at those targets, but we can use this to soften up the whole city realistically. Your idea of a siege isn't a bad one, however if Saddam is not there it seems pointless. I expect him to run and hide, even if it's only 200ft below Bagdahd. An ordinary citizen will not be able to get to him. Our best hope is that someone close and supposedly loyal to Saddam will take him out for us, a very likely scenario.