Ones environs, experiences, and culture as a whole have some influence over how likely one is to react violently to such an image. Religion itself is only one of many facets of culture however, so it far from obvious to me that devotees to Islam are more predisposed to violence reactions than are others. The religious aspects of a culture tend to influence the customs and attitudes folks have in society at large but, at the same time, the non-religious customs and attitudes people have can profoundly change the messages they choose to draw from the tenets of their religion. For instance, I have yet to meet any Christian in the United States who believes in all scriptural claims and adheres without exception to all of those sacred writings' prescriptions in practice. It seems to me that cultures as a whole exert more influence over religious views than vice versa.
Fundamentalist Islamism is a politically engineered movement, not the manifestation of some cultural trait specific to "Muslim culture" (whatever that is even supposed to mean).