Our ancestors might have dreamed about gods and mythical elements, etc. but we dream about presidents and celebrities instead is what I read in one dream psych book. It's just who we "admire". They had illustration dreams and their person dreamed she was working with a baby that belonged to Bill and Hilary Clinton (this was an older dream book :-)
I would think your dream has something to do with your father or your way of being in the world "out there". You're sharing food so that's a getting together, peaceful act of togetherness. Perhaps the Chinese are "foreignness" (if it were my dream, that's what I would think). Put it all together, your fortune cookie say: "Think Outside the Box"