The model/rival dynamic is part and parcel of Girard's "primitive sacred" and, indeed, with a fallen humanity. While street rabble continue to receive front page coverage by the NYT, the taxonomy of the mob provided by Girard's mimetic theory lies largely undisturbed, ignored, or misunderstood. (It should be noted well that the Holy Father did not see Fr Cantalamessa's use of Girard as either scandalous or wrong-headed at all.)
The Scimitar poses as an alt-monotheism. In reality, it is a form of paganism, a "primitive sacred," which demands victims for sacrifice. Only when the Holy Paraklete begins to inform, convert, and redeem its members will there be a true opportunity for "dialogue".