Obama is not, I repeat is not, a closet Muslim. In an often quoted remark made a few years back, he was quoted publicly as saying something to the extent that if a choice had to be made he would be on the side of his Muslim heritage.
He also referred to “My Muslim religion” and has made many other inadvertent slips. He also recited Shaheed publicly in Cairo and his education in Djakarta is sufficient to guarantee that he knows the significance of that act. He is Moslem. His actions show that he is Sunni. He must therefore support the Caliphate though he must politically make a show of opposing it. His opposition has been desultory at best. The way the bombing was originally announced I am convinced the military made the first attacks without telling him then told him he had better own it. He has managed to put reins on the action since.