Well, true. Both were reliant on race/culture/faith. As for the holocaust, I have NEVER gotten an answer as to whether Judaism is a faith and/or a culture. Doesn't really matter, I suppose.
One incarcerated; one tortured and killed. They would seem to me to be MILES apart.
The answer is yes. Or, to be more specific, Jewish life is a culture, while the Tanakh is an expression of the relationship between The Almighty and His people. In the world's eyes, they are conflated: anti-Semites hate both Jews and their culture, supporters of the Jewish people love both Jews and their culture.