So.... science has nothing to say about astrology, psychic readings or faith healing because they are of the supernatural?
If there is a claim concerning causation then it probably can be tested. If you think the alignment of the stars affect peoples lives in a predictable way then we can test your ability to make predictions. When the science denying sf claims that acupuncture can be used to focus the healing power of Ch'i we can test that with science. Even if you think Jesus was the reason you were able to throw a touchdown pass we could measure your touchdowns versus some worshiper of the Devil (Tom Brady).
Further, science has plenty to say about many religious claims, like the flood, age of the earth, the appearance of life, the cosmological accuracy of the creation myth, etc. The NOMA only works with certain types of religious practitioners like Einstein or Collins and the fact is that science continues to shrink what is left for religion to claim as it's domain, e.g., science and morality. The believers who respect NOMA are rarities. The Intelligent Design movement has pretty much destroyed it and then you have faith healers and other dealers in hokum that attack science in a similar way.
