Saying that anyone who doesn't practice the Jewish religion is not a Jew, is like saying that anyone who isn't Anglican is not English.
What makes you think that Jew refers only to the religion and not the people of Jewish heritage? Jew after all is derived from Judah which was one of the twelve tribes of Israel. It's been used to describe descendants of Judah and Israel for at least 2500 years, regardless of their religion.
Perhaps I should have used Dane. Stereotyping Germans, however, is no different that stereotyping Jews. The socialist "democratic republic" has renounced the evils of the paper hanger and embraced a new destructive politics.