At the very least, students should learn why some explanations are “supernatural”. Show them why that’s not an adequate scientific theory. Compare and contrast to the ToE. Show them hypotheses created to test the ToE. Explain that a scientific theory must be falsifiable. Ask them if there are any testable hypotheses that could falsify ID.
While we're at it -- students should also learn about Lysenkoism and Lamarck's theory of evolution. These were not "supernatural" explanations -- both laid claims to being scientific theories. Students should learn why we rejected those theories in favour of Darwin's. (Not just that we did reject the others -- but, why we rejected them.)
If students learn all that -- they're learning science -- and not being simply indoctrinated.
When you explain it that way it sounds good.