>As a parent I have a strong desire to raise my children with the same values that I have. For people who practice organized religion, you can’t really have the “values” part without the religion part. It all fits together into a cohesive whole.
Then you should probably examine whether your values can stand up without the false axiom you're using to shore them up. I'm not saying they can't! But you need to check. And if they do, so much the better: you can pass on good values and avoid teaching your children nonsense.
Firstly, your expectation that an axiom be true belies your misunderstanding of what an axiom is. Secondly, your expectation that something at all be true independently of personal experience shows your lack of acquaintance with phenomenology, or at least a refusal to understand it.
Then you should probably examine whether your values can stand up without the false axiom you're using to shore them up. I'm not saying they can't! But you need to check. And if they do, so much the better: you can pass on good values and avoid teaching your children nonsense.