Our values determine our beliefs

I don't think the ugly duckling theorem (ie. the observation that any pair of elements from a finite set share exactly half of the powerset elements that they belong to) goes far towards proving that "our values determine our beliefs". Some offhand reasons why I think that:

• It should be more like "our values determine our categories".
• There's still solomonoff induction.
• It seems like people with different values should still be able to have a bona fide factual disagreement that's not just caused by their differing values.
• It could be true in a theoretical sense but have little bearing on beliefs, values and disagreements in an everyday human context.

(And even if we grant something like that, I see no reason to think that a "philosopher's mindset" would make you lean towards religion (because I don't know any convincing phiosophical arguments for religious propositions, for one).)