The social problem with the term "British" at the moment is all too obvious, British institutions are being wrecked at the moment, all of them.
Even apparently noble ones.
The feeling of Britishness is being killed by it's very self, it isn't even surprising any more to hear a story about the MET, White hall, the police in general, Justice/Law departments, Education system, the military and so on that isnt bad or demoralising.
People just don't care any more (considering the voting numbers and the reasons they say they don't).
So I think we should stop this circle jerk and start celebrating as independent nations in a whole, without being persecuted for it.