Science can't tell you how to structure a society because science does not assume any values beyond truth. Science can only tell you what your values will do, not what values you should have.
For instance, science can't tell you not to enslave people, it can only tell you that there are little to no factual differences between different types of people, but that would not prevent a society from allowing slavery to pay off a debt, as but one example.
Science is built on trust, no one reproduces every single finding and in the first place we measure the likelihood of some conclusion holding up in reality so we have probabilistic measures of trust in our conclusions, turns out that we can definitely build a society on this kind of trust. See my other responses to people responding to me (or datalisp.is which is a work in progress) to piece together what I am describing.
I don't trust that a conspiracy is less likely, I infer that due to logical arguments of parsimony (see Solomonoff induction), and then I verify that such a conspiracy didn't take place to the best of my ability.
For instance, science can't tell you not to enslave people, it can only tell you that there are little to no factual differences between different types of people, but that would not prevent a society from allowing slavery to pay off a debt, as but one example.