Shalom aleichem icot (why do we say that in the plural?)
i knew you would agree
i cant really answer your question without changing my perspective
but id like to say that, in general, for an erlich Yid:
the more science the better, but one first has to have a very deep Emunah, science can be dangerously misleading
history has been filtered with such bias and constructed with such falsehood, speculation, and lack of information that it is close to and sometimes worse than worthless.
math, i think especially in the higher forms can be illuminating, even if not practically useful
english, grammar is very helpful, even important, but literature is equal to television in its power of removing one from Hashem.
i know i didnt really address your points, hopefully youll get some better responses.