This must do wonders for troop morale. Not.
To heck with this, It's time for Captain Paintball's "THREE Ls:"
LEAFLETS for the citizens. Women and children have 24 hours to "ex-cape". (a little ebonics lingo, there.) ALL men leaving the city will be set aside in a nearby camp and interrogated. Humanely, of course.
LEVEL the city. With the force of 1000 daisycutters, Fallujah will be incinerated in a show of force not seen since Hiroshima.
'LIM-IN-ATE the survivors. Those not smart enough to leave, and all the "brave" insurgents left alive will be put out of their misery.
This will work if we do it hard, fast, and without apology.