Very good post. The number of faces isn't limited to three, however, nor are they always called faces. Your post made me immediately think "The Score", an Album released by the Fugees in 1996. They sang a song called, "The Mask", which addresses exactly the issues you have written about. I highly recommend checking it out (great album too!).
Yeah, it might be more and faces may not even be the perfect term. Just the way I looked at this :)