In addition, we as everyone else are capable of identifying with many things, and what is important at the moment depends on the context. When I speak to an American or Chinese, I'm European, when I speak to an Englishman I'm a Swede and if I speak to another Swede I'm from Stockholm.
In Spain, I identify as Catalan.
In Catalonia, I identify as someone from Barcelona.
In most world affairs, I identify as European.
It is human nature to look for your own identity; and sharing that with your neighbours substracts from your own personality. On the other hand, against external competition you would look for group membership.
What I'm saying is, the Brits are not special or different on their aspirations than their neighbours. Their main difference is who owns the media and the aspirations of those media moguls.
These countries like their distinct identities. They like to visit other European countries but they really don't want a melting pot at home.