Of course it's compatible! But that doesn't rob it of its magic. Just because we discover the lever, doesn't prove there isn't something tugging on the lever.

I have a couple articles on my site about how the concept of the "supernatural" is incoherent, but that it doesn't matter: we experience such a small subset of "reality" that we need a concept "outside the normal realm of experience." I called it "Hypernatural," for lack of a better term already in use.

The issue is that if a phenomenon is indescribable through either words or math then how can we collect any independently verifiable data? It would be impossible to create any laws governing such a phenomenon, because we would never be able to see whether or not the laws fit the past data and were capable of predicting the future.