I respect your right to be wrong, but I don't respect your aptitude for logic.
If you were a Californian, a New Yorker or a Floridian, you would also be an American (at least assuming citizenship).
If I am told somebody is British, I have no way of knowing whether they hail from Cardiff, Glasgow or Manchester (etc.), without further information, but if I know where they're from, I can infer that they're all British.
Your analogy doesn't hold water. Where did you fish the red herring about Tubby Hayes and John Surman?
But that shouldn't stop you from keeping on trying...
http://en.wikipedia.org/wiki/British_people