Until we decide that it's not the height of insensitivity to capture or kill Sadr, the fighting will continue.
We cannot win a war of attrition against these animals.
BTW, you seriously need to study up on Grozny. Take a look at http://fmso.leavenworth.army.mil/FMSOPUBS/ISSUES/RUSN_leslrn.htm.
It speaks directly to, especially, Fallujah in lesson #1 and #2.