AMWCK

What is there to "debunk" or "discredit"  about the separation of church and state? The final authority on the Constitution is the Supreme Court, and they have stated in multiple rulings from as early as 1878 that the separation exists.

You're free of course to argue that you disagree or want it to be different but the reality is that the separation exists because the Supreme Court says it does. The only factual argument to dispute this would be a ruling to the contrary and there isn't one.