said by chrisretusn:As for Google, your name and profile picture (if you don't want a picture do not provide one) is publicly visible.
That's not entirely true. If you Choose the options I provided, your "profile" will not come up on a Google search even if people search for your facebook name.
However, if you post on a public page, or for example you attend a public event, then since the event is public and will come up on a Google search, your name and picture will come up within that search. Even then, your name is not hyperlinked which means people can't click on it and go to your profile page that way.
Pretty much everything on facebook has a workaround if you are serious about being stealthy.