The mythicist Robert Price sometimes brings in Buddhism as an influence or cites other works that do so.
There's a book that might interest if you haven't read it: The Shape of Ancient Thought: Comparative Studies in Greek and Indian Philosophies, by Thomas McEvilly.
It's always illuminating reading a gospel side by side with an ancient Buddhist text. The relative sophistication of the latter never fails to impress.
Even if there were some specific connections between Buddhism and Greek philosophy, though, I doubt that would solve the problem of the Axial Age revolutions.