The news is coming in censored now, and mis-information is probably rampant. But, guessing on Afganstian's seeming befuddled replies regarding bin Laudin, I would guess that the military does not want to fight. However, I would also suspect that the military doesn't have the final say.
I'm not sure the Priests want to fight either, but for them it's a matter of principle. Bin Laudin, right or wrong, has been accepted as a guest into their house and is under their protection. Turning him over to a rival would be such a loss 'face' as to be beyond words. It would an affront to God and all of their customs.
I don't know enough about Afganstian customs. I curious as to what will happen if we prove to them bin Laudin did it. If a guest kills a man under a host's protection, does Afganstian law/custom require the host to kill the guest? Does the host become libel? I don't know.