Dinesh D’Souza examines this kind of nonsense in his book “What’s So Great About Christianity”. He does an excellent job of exploding the myth that believers are anti-science. In fact it is just the opposite. A very good book. I believe that C.S. Lewis also has a bit to say about fools such as these also.
The layman would be amazed at just how much scientific advancement has been the result of "intuitive" thinking. The only people who hold to a rigid equation of "science = vastly superior analytical thinking" are fetishists who themselves know little about science.