The main bone of contention is whether Islamic injunctions are legal or moral categories. When Muslims say Islam commands daily prayers or bans alcohol, are they talking about public obligations that will be enforced by the state or personal ones that will be judged by God?
There are strengths in Islamic tradition. Islam actually, as a monotheistic religion, which defined man as a responsible agent by itself, created the idea of the individual in the Middle East and saved it from the communitarianism, the collectivism of the tribe.
While no Muslim worthy of his name would lose his respect for God, the Prophet Muhammad, and other symbols of Islam, he might well refrain from using legal prosecution or violent reaction to those who do not show the same respect. My basis for this claim is nothing other than the holiest source of Islam, the Quran.
For the jihadists, Muslim women who embrace Western mores, and wear tight jeans or mini skirts, are hated symbols of corruption that need to be eradicated. For the ideological mentors of Breivik, a similar disturbance comes from the burqa, which is banned in France and Belgium, partly thanks to their efforts.