Defining Jews by race is an error and in no way reflects the true Jewish belief. Membership in the Jewish people is not dependent on race. For the Jews, peoplehood has always been defined only by acceptance of the Torah. In the words of the famous philosopher Rabbi Saadiah Gaon (882-942), This people is only a people through its Torah. Any Jew who rejects the Torah is not part of the Jewish people. Any individual of any race can become a Jew and be part of the Jewish people.
Therefore if you reject the Torah then you are Not Jewish. Simple as that.
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