This is an aside, but related: there is an awesome website dedicated to investigating and uncovering fraud and vice within the Martial Arts world: Bullshido. Participants post about questionable doings (such as masters who claim to teach or use ki) and visit those schools to report on the fraud. It also has areas for regular Martial Arts chat, but this sub-forum is the one that primarily focuses on investigations.

This, then, is an incomplete outline to an answer to your question: due diligence and active pursuit of those who fraudulently represent "arts of rationality." If there were a series of Dojos of the Bayesian Sect, those dojos would be responsible for exposing the Thousand Schools of False Ways. It would ever be an ongoing battle. Just as the members of Bullshido are constantly encountering and exposing "McDojos" that claim to teach practical self-defense techniques that would, in reality, probably just get you killed or kids' grappling schools taught by instructors with sex assault convictions.