Actually Occam's Razor proposes that one should not inflate beyond what is necessary the number of entities required to explain something. Alternatively, that given a choice between competeing hypotheses, the one making the fewest assumptions is generally the more correct one. So the principle still applies, I'm afraid, whatever your HO. The system (the human brain in this case) operates upon principles which are either well understood or dimly so but scientifically investigable. The spirit hypothesis proposes an entity (in the Occam sense) extraneous to the system. Such an entity ought to be detectable if it has any effect on the system at all, or at the very least its effects should. Otherwise how would we even know anything about it at all? That's the bit that can be eliminated, the part that cannot be detected and that has no effects which can be detected.
At the age of five, Skagra decided emphatically that God did not exist. This revelation tends to make most people in the universe who have it react in one of two ways - with relief or with despair. Only Skagra responded to it by thinking, 'Wait a second. That means there's a situation vacant.'