That didn't take as long as I thought it might. A rundown of what happens: Your google profile goes wonky as shown in the photo. GMail, Docs, Picasa, Voice and Talk all work fine, although anywhere you would expect to see your profile photo, it will be missing. You can view other people's content in Buzz, Reader ans Plus, but you cannot share, post, comment or otherwise produce any content on those services, nor, apparently, can you follow new contacts either.
Most people that I collaborate with elsewhere know me as ax0n. My real name, address, phone number etc are no secret, but most people don't even know who I am by my given name.
By for now, Google+.