Thank you for sharing the song, pictures, and thoughts.
Personally I think the fact that Music Directors are mostly religious, doesn't have as much to say about the nature of music and it's divinity, but more that the ancient music that survived the ages is usually tied to religious practice or ritual. Unsurprisingly secular music probably didn't hold the reverence, or the mind share, of people and changed with the times (how relevant could the sung songs of the heroes of yore be to the majority of modern people, or a scathing renaissance era political satire?).
The thing that makes music eternal, is the message, and no single message has been more repeated and reinforced than the tales of our gods.