It is not enough just to know these sciences well, you must also be able to apply them well in practice. With the application of these sciences in practice, perhaps there would be some progress. Each person would probably be given the opportunity to know everything equally well, but this does not mean that at the same time they would be given the opportunity to understand and analyze everything as well. Someone would be content with their knowledge, while someone would move on, develop, invent new theories and proofs, or find refutations of the information found earlier. Therefore, for someone, knowledge would greatly simplify its existence, and for someone, on the contrary, it would complicate it. It is quite possible that topics of basic sciences or psychology / history would become commonplace topics for everyday conversation.
It seems to me that if people took up the study of fundamental sciences, they would have no time for various kinds of conflicts: among themselves, between nations, between entire countries. The inventions they would make would significantly improve the state of the world economy and, accordingly, the well-being of citizens of all countries.