Correct, although there is a high negative correlation. Acceptance of science and belief in ID or creationism are, however, mutually exclusive.
"And being skeptical of the theory of evolution and believing in science are also not mutually exclusive."
"Correct, although there is a high negative correlation."
The negative correlation may be in quantity but not necessarily in quality. Most scientists did believe the earth was the center of the universe. More recently, most researchers believed and taught us that salt intake was directly related to high blood pressure. It was gospel and spawned a billion dollar industry in low salt food and salt substitutes. They, even though in the majority, were wrong, and finally had to admit it. There may be strength in numbers but not necessarily truth in numbers.