Now, we live in an age where we have so much information that we do tend to overload. The Greeks did too, though.
All the Greek mythic heroes had gone east, but they were myths. Achilles was a myth. Perseus, Theseus, Hercules... they probably existed in some form. But they all went east. That's where a Greek went to make his bones so to speak. And Alexander the Great was the first man who actually went east not to plunder, not to loot and come back to Greece - which is where the Macedonians wanted to go back with the money. He stayed. And he became half-Eastern.
Christianity did take a lot of Greek concepts.
The Greek playwrights, we're all beholden to them, every one of us.