The weird continuity glitch with Daniel Craig's Bond movies is that they did NOT recast M from the previous Bond movies, which clearly implies that either the same actress was playing two different M's or Daniel Craig's Bond and Pierce Brosnan's Bond were separate people who both identified themselves as James Bond.
But I guess we will have to wait until the movie comes out to see how the whole James Bond vs. 007 thing works out.
To be fair, Desmond Llewelyn was Q for all the Bond actors except Craig. The continuity being there is no continuity between any of the Bond eras save for Lazenby's Bond getting married to Teresa, which was then carried over into the Moore era. All the rest of it is pretty well in media res in a 007 story, irrespective of actors.