Do we each of us have a copyrightable interest in...our faces?

No, I don't think so. But some are trying to push out that notion. A baseless (note, which rhymes with "faceless") concept.

There may be very be legitimate concerns associated with the facial recognition technology, but they are best addressed with privacy and data security law, not copyright.

http://www.techdirt.com/articles/20111221/12002817160/daft-idea-week-giving-people-copyright-their-faces.shtml