Western culture is (as is every other culture) indeed infused with religion. There are lots of good things that come from it. Are we to throw them away because they are “tainted” by some religious element in their origin or development?
We’ve ended up in a very culturally poor place because in moving away from religion we throw so much out. Babies with bath water, as it were.
We’ve moved to a rationalist mentality without a good understanding of how man is an inherently cultural animal. And culture until recently was very hard to separate from religious aspects.
Note that I am an atheist myself, not brought up religious, and I don’t have answers to how to resolve this awkward place we have gotten to. But I’m quite sure that avoiding cultural elements simply because there is a religious taint is not helpful. Are we to throw away all of Bach’s music?