According to an article run by an important Israeli media outlet, yes most of the neo-cons are Jewish.
http://www.haaretz.com/hasen/pages/ShAr ... an'sburden
Their religion does matter.
Being Jewish and the ones who pushed for war in Iraq; in the eyes of the Muslims and Arabs of the Middle East the claim of bringing freedom and democracy becomes very suspicious. Israel is denying the right of existence to the Arabs and Muslims of Palestine.
One can very hardly see them willing to implement a prosper Iraq, which they went to loot in the first place.