It's not quite as simple as that; and in hebrew yehudi means both jew and jewish. Incidently I would definitely not include Lustiger as a jew or as jewish, and would definitiely include Sammy Davis as both a jew and jewish. Because at the end of the day, they are the same thing, because we are a nation that believes in one G-d, and that has given us a shared destiny over thousands of years.
High school teacher's union threatens strike (Haaretz)
from the article: Once a Jew, always a Jew