Fight in the cause of Allah those who fight you, but do not transgress limits; for Allah loveth not transgressors. And slay them wherever ye find them, and drive them out of the places whence they drove you out, for persecution is worse than slaughter... and fight them until fitnah is no more, and religion is for Allah. (2:190-191)
This is one of many verses radicals turn to for their justification in slaughtering people like me, because of their beliefs that there is a war of aggression against Islam. And there is no one to rightly tell them they are wrong, or any way to prove them wrong. In fact, to them, the Western world is at war against them in all ways except for legal words, and secular values are spreading even within certain Muslim groups. But to many, their very ways, their culture, their way of living, their very religion of not just them but of their fathers and forefathers for generations immemorial is under attack.
Yes, there are inconsistencies within the Quran, but the facts are those who would kill us, including you (as other Muslims are the greatest threat to themselves), have justification for their actions in the Quran and Hadiths.