> NOTHING is provable and EVERYTHING is a belief
If that's the case, then it's tautological. In practice, "provability" is partially quantitative, not starkly Boolean (True/False)
I'm not sure Russell's Teapot concept was troubled by his later failures to create an internally consistent body of mathematics:
> Russel's teapot was mathematics as he could not meet the burden of proof at the axiomatic level, yet we still believe it to be true.
You don't need to meet a BoP at an axiomatic level, by definition of what an axiom is. We still accept the analogy of the teapot, because the axioms are accepted by standard. If this acceptance is "faith", it is still far from religious faith, whose "axioms" are not reduced/irreducible, but complex, dependent (on reason) and ad-hoc.