Ja, es scheint dass "Esowatch" ein irrationalies Überzeugungssystem ist.
Calling Esowatch an Überzeugungssystem would be your first fallacy. To even consider the idea Esowatch were irrational is your second.
Can one make the argument that failure to distinguish between belief and fact makes one irrational?
A belief, when based on examination of factual evidence is rational. In all other cases it is not. A belief not based on fact but still cause for conviction is faith. Esowatch deals with issues on faith, belief and conviction not based on fact. The authors of Esowatch employ rational evaluation techniques to demonstrate irrational and fictional character of such systems, statements and beliefs that portrait a reality that differs dramatically from one supported by scientific evidence.
Someone may still choose to belief in whatever, however, Esowatch at least tried to make them aware of the irrationality their belief is based upon.
All in all. What exactly are you trying to ascertain?