So what would a guided missile battleship look like?

my guess would be trident sized(2m) silos as the main battery and you fill them with vls cells as a working battery. for armor It needs to be able to defend agenst it's own gun right, so that would probably be a bunch of missile defense systems.

It is often said that aircraft carriers replaced battleships but I don't think that is the case, I think aircraft carriers are kind of their own thing and the battleship role was actually replaced by ballistic missile submarines. Think about it, where are the big guns in the navy located? And the more tenuous but fun argument, look how the ships are named, battleships got state names, SSBN's got state names coincidence, I think not.