as an empire, ND, you are completely right. Athens never maintained an Empire, and as I have made clear, the Byzantines did a very impressive job of maintaining their against so many enemies.
however I'd like to address your point on religion.
Athens is more religiously influential, not because of their pagan mythology, but because of Aristotle and Plato. These two are what Christology is built upon. The Great Schism was the result, as I'm sure you know, of the "filioque clause" in the Nicaen Creed. This Creed was written to disprove Arianism the most dangerous heresy to every threaten Christianity. This heresy, and many others, including, but not limited to, Manichaeism, Monophysitism, and Monothelitism, all come into being over disagreements as to the exact nature of the natures of Jesus Christ. I encourage you to look into their teachings, and the teachings of the Catholics on this matter, because you will begin to see themes to the heresies. It harkens back to the classic Plato and Aristotle argument over souls. Arians took a more platonic view, whereas Catholics took a more Aristotle view.
As you can see the Great Schism is because of Athenian philosophies.