CPT activities are based on short-term visits (of 7 to 14 days) by "conflict resolution teams" to Palestinian centers, both to provide "practical guidance to warring parties," and to "link communities experiencing violence with concerned individuals, churches and groups." Toward these ends, CPT has established a forum for "social change through listening, public witness, prayer vigils, [and] dialogue."
I suspect that Muslim fundamentalists who seem to be in with the terrorists are not thrilled about Christian pray vigils being held in Muslim areas. I would expect that in Irag, this kind of thing is even more of an "insult" to the Muslim terrorists.
The History channel had an interesting set of specials on regarding the Crusades and interviewed Muslim scholars. One of the surprising things from that TV show was that most Muslims blame the fall of Arab empire on Christians and that even today Westerners and especially their armies in the middle east are viewed from a Middle-Ages perspective regardless of their true motives.
Personally, unless a really politically smart terrorist steps forward these folks are all going to be dead pretty soon.