To me Jew is anyone with a hooked nose or trying to sell me $1 merchandise for 500$. The proper and polite term is Jewish now that the word Jew has been hijacked.
Buddhism is a way of life. It does not have a mythology behind it of Gods and relationships with a huge rule book. It's very simple. Cast out all worldly desires and be in peace.
Jews believe you come to Judaica through birth rite, if your mother was Jewish then you are Jewish. Granted there are those who convert, but the aren't considered "fully Jewish", well they are, but they aren't. It's really hard to describe.