Interesting ideas and i like how you explained it
I dont think anyone is "incapable" of believing anything. "Believing" is simply one's opinion, and nothing more than that. I think people over-spiritualize the term belief. Anyone is capable of having any opinion they want to have.
Also is anything 100 percent provable? i doubt it.
George Washington and Abe Lincoln cannot be demonstrated so we do not have 100 percent proof that they were not invented characters for some greater cause. There is a degree of blind faith in claiming either one existed.
I still think its a question of the will.
but i cant prove that 100 percent either :)