It appears that the impetus to get this all started was the US Pershing II, whose actively radar guided MARV produced a CEP of something under 30m much less than the 75m beam of a Nimitz flight deck.
In any case, this is a good read, and if this technology has been in development since the early 1980s, I can see no reasons that the Chinese are not near the point of being able to deploy such a system.
Modern processors allow for sensor fusion from a number of data sources, and a CVBG puts out a lot of signature.
In any case, I tend to figure that warships these days fall into 2 categories: Submarines, and targets.