I self identify as French. I wasn't born in France and I can't speak French (don't plan to learn either) but that doesn't make me any less French than any other French person. I've 'felt' I should be French since I was as young as I can remember.
No one will dare claim I'm not a 'real' French person because I love baguettes, striped Breton jumpers and Carrefour. I plan to embrace my Frenchness by sitting at pavement cafes in a chic mac with red lipstick smoking a galloise and drinking inky black coffee.