The problem is that Islam does not recognize reason, and in fact, has a concept of God that is radically different from the Judeo Christian concept. The Islamic "God" is an unpredictable, arbitrary being who may decree one thing at one moment, another thing at another moment, and cannot be understood by reason because his actions are not predictable. Even science is impossible, because the Islamic god could, at any moment, decide to completely upend the laws of the universe and do something else entirely. In fact, there are no laws and no natural law, because this would mean that their god was "bound" by something.
The Jewish view is a God who has order and reason within Himself, whose world reflects this, and who made a covenant with man essentially agreeing to maintain the law of life, the natural law, forever in the universe. Acceptance of the moral law (that is, how the created is suposed to react to creation and other creatures) was man's response.
But the Islamic god has no law, establishes no law of nature in the world, and all law comes as a form of positive law, that is, specific instructions created by man (the fatwas of the mullahs) based on a sort of manual to be found in the sayings of Mohammed. So law is given or imposed, but is not part of the universe and human nature. This is the crux of the difference between their view of society and ours, leaving aside, of course, the fact that they worship a false and even demonic "god."