That is because the info that is available at http://graph.facebook.com/name is <= the info that is available at http://facebook.com/name . What part of your account are you trying to stop from being accessed? This makes no sense.
If you're not logged in, my URL returns a 404: http://www.facebook.com/davetufts (or by ID: http://www.facebook.com/profile.php?id=603069147 )
Not a huge deal, because the graph page only shows my name and ID, but they are publicly accessible: http://graph.facebook.com/davetufts or http://graph.facebook.com/603069147
I'm not seeing a discrepancy here?
In fact, the json api gives out less information than the html frontend (e.g. all 18 pages you currently follow).