This is all true but there is much more than just this, although the majority of Muslims are not Jihadists a significant number are and as anyone who has studied Islam and its roots knows the Jihadists are the true Muslims and they are only doing what Mohammad told them to do. It would take some serious changes in their religion to change this belief structure regarding Kafirs something like the Protestant reformation movement in Europe in the 16th century that killed tens of thousands before it ended. Today if Islam had a similar movement tens of millions would die and not all of them would be Muslims.