Intuitive thinking means going with one’s first instinct and reaching decisions quickly based on automatic cognitive processes. Reflective thinking involves the questioning of first instinct and consideration of other possibilities, thus allowing for counterintuitive decisions.
How is this saying anything other than "people who don't tend to think things through have a higher tendency to believe in a god"?
You can express this in such a politically incorrect manner as your view and opinion. No one's stopping you.
But I would not agree with you that people who rely on intuition for anything isn't thinking things through. He's just approaching things from a different angle than how someone relying on reflection would.
Without going into the middle ground stuff, and generally speaking, the believer believes in God because he thought it through with his intuition. The unbeliever discards his intuition and concludes that he doesn't have any reason to believe God exists and so he thought it through by using reflection.
Obviously, reflection gives more valid answers than intuition as science has shown, but this does not change one bit what intuition favors.