The modern pairing of Islam with the incapacity for critical thought is a fairly old gesture - the Enlightenment philosopher Leibniz said Muslims were so fatalistic they wouldn't even jump out of the way of carts.
Our thinking is an integral part of a patterned way of acting in the world, and we act, even in simple matters, with some set of ends in view. While the west look at thinking as only a tool to find out truth Islam sees thinking as an act of worship. And, the history of Islamic thought is based on opinion, not fact.
Not everyone can do critical thinking. Think about our governments and the leaders we elect. As Muslims, let us not dive into critical thinking as if it were only an exercise in rationality, and not related to spirituality. For many people are hating questions.