When David decided to bring the Ark of the Covenant to Jerusalem, he first used an oxcart; similar to what the Philistines had done. David probably was not intentionally trying to be like the heathen, but simply moved the cart that way because it had been returned to Israel in a cart. Still, they suffered terrible consequences by moving the Ark that way. Then David realized how God wanted the Ark to be moved; and when he did it God's way he had God's blessing.
If we want to not be conformed to this world, but rather be transformed by the renewing of our mind, we aught to hold the Bible as our ultimate authority in every area of life, from science, to various issues of our culture.