I feel British not European, never have done and probably never will. We are are a very successful island, we have come through difficult times and will do so again if necessary, we have a lot to offer and we have always been open and welcoming to EU and non-EU citizens and on the whole we all rub along quite nicely BUT apart from being on the European continent geographically I would not class myself as European (whatever that means) and certainly not over being British. We are not part of mainland Europe, languages are a barrier for a lot of us, we don't have the benefit of being able to jump on a bus in Germany and be in Austria within the hour so to that extent we are pretty isolated (maybe I have an island mentality if such a thing exists?) You can't underestimate identity (either individual or country). I don't subscribe to the brainwashing of 'we are all European' I don't find that anything to be particularly proud of to be honest and 'citizen of the world, I won't even go there. I would be interested to know how people from other islands identify themselves.
Europe is having an identity crises! FOM whilst of being a huge benefit to lots of people has also left people without a true identiy so the EU have said "let's all call ourselves European" and that sorts that out.
Does the above make me a bad person, a lesser person, a xenophobe? I don't think so, I just know my identity.