You are spot on! I know nothing about Islam and you can even abuse me for that. But what I hear from everyone is Muslims are expected to follow Islamic texts without bending its rules.
We are also witnessing various acts of Muslims around the globe, not specific to one country. In which case, Muslims CANT be blamed for what is happening. They are not the root-cause.
They are probably better than Hindus and Christians but one small glitche which you must obviously know.