Why do Atheist Jews still call themselves Jews even though they are Atheist?

Answer 1

Judaism is typically considered to be an ethno-religious group. It has certain elements that are common to all ethnicities, such as a common language, a common ancestry, particular customs of association, and a view of common historic nation-hood. It also has certain elements that other religions share such as a belief in divine beings and a God, specific divine mandates, houses of worship, and holy scriptures. (Other ethno-religious groups include the Druze and Yazidi.) Ethno-religious groups, unlike other common religions, prevent a person from converting out. This is because the ethnic component of Judaism ties a person to Judaism regardless of what they believe.

As a result, Jews who renounce the religious claims of Judaism still retain ethnic Jewish culture. They still eat the same foods, have many of the same political outlooks, the same family moorings, etc. He remains a Jew, both in his own perception and in the perception of most Anti-Semites. The Jews are the people of Judea and that heritage stays with them regardless of whether individual Jews choose to believe the religious claims of Judaism.

It is worth making clear, though, that being an Atheist is against the Jewish teachings on religion and violates the first three commandments of the eponymous ten.

Answer 2

Because they are ethnically and culturally Jewish. They might have been raised in a Jewish house or community. However, they don't share the believe that God exists as other Jews.