This is the reason why calling Islam a religion of peace is so wrong. If even the moderates believe in homicide bombings to settle a supposed slight, what are we left with to find any common ground with their culture or their religion?
Islam is NOT a religion of peace. the world "Islam" does not translate as "Peace". It translates as "surrender" -- a crucial difference.
There are two kinds of peace: the peace of freedom and the "peace" of surrender and submission. Islam is the latter.
When you have a woman struggling against a rapist, there are two main endings to that struggle: she either drives him off, or she submits to rape. Both end the conflict, but only the first is a desirable ending