Sedevacantism and atheism

Paradoxically, one way to expose inconsistencies in a belief-system is to try to be consistent within that paradigm. Occasionally you have atheists who try to take naturalism to a logical extreme. Their effort to be ruthlessly consistent with the implications of naturalism exposes strains and self-negations within naturalism. 

In that respect, sedevacantism is similar. In a sense, the sedevacantist is more consistent than a post-Vatican II Catholic. But his effort to be faithful to the entirety of Catholic tradition unwittingly illustrates the incoherence of Catholic tradition overall. The Catholic paradigm is fundamentally flawed, and over time that becomes increasingly evident. Little seminal errors snowball. The belief system pulls in opposing directions.