The paper is devoted to the study of the history of «Islamic State of Iraq» and debate, which was caused among Islamists by the establishment of this political organization. The author describes the arguments of supporters of «Islamic State of Iraq» and their opponents. The conclusion of the study is that Islamism, including ideology of jihadi salafits, characterized by a large number of cleavages. This thesis is confirmed by the abundance of Islamist criticism of “Islamic State of Iraq”. The study shows that a serious debate among the Islamists is provoked by the question of the caliphate.
