Can you obfuscate your "faceprint" by tagging a few other people as you?
It's best to just stay off of Facebook if you care at all about privacy. At least, that's the underlying message that I get from this, and every other story I read about the site.
Anyone who cares about privacy already does not use facebook. It's the fact that facebook still gets your photos/info that is the problem. It's a difficult problem to solve. Simply avoiding facebook sadly does not cut it.