I applaud the spirit of your post, but in reality it doesn't work. Can you imagine alchemy in chemistry class as an alternative to show how real chemistry works? Prayer in physics class as a contrast?
You get the idea. And on top of that you would have to introduce ALL creation myths -- not just the Judeo Christian one.
I think that religion should stay in theology and philosophy class. Science should be taught in science class.
Back in the Dark Ages (50's) we got phlogiston in my basic chemistry class.
They did a good job of explaining how it had been a scientific approach and how it was shown to be incorrect.
In bio we got told about creationism but there it was clearly pointed out that that was a religious stance that had nothing to do with science or evidence.
Yes, you're right. It would be opening a can of worms. I withdraw my suggestion.