scientific knowledge and the great works of literature, music and other culture is also inspired by exactly the same source that inspires Jewish culture.
Unequivocally incorrect. (And Jewish so-called “culture” is what the Torah defines it to be.)
I personally know Hareidi Rabbanim who have Ph.D.s in such topics as you list above
And they didn’t study the secular material they studied “for its own sake.” There was a tachlis to it.