And, by the same logic, would you not also agree that ID and creationism should stay out of science classes?
Scientists are the ones stating that science does not does not deal with the supernatural. I haven't seen any Christians/creationists/IDers/whatever say that the supernatural excludes the natural. If scientists don't take the supernatural into consideration or have no way to measure, test, or observe it, then they are in no position to make intelligent, well-supported comments on it; all they have to offer at that point is their opinion based on speculation, which should not be presented as scientific fact or findings.