@cofty
No. My status of a Jew is due to being a literal offspring of the Jewish people. There are many Jews who are secular (atheist), agnostic, some who make claim to Buddhism, etc.
At the same time you can't disassociate the concept of the G-d of Abraham and Sarah from the Jewish people. We have been hated and persecuted due to our worship, our culture that has grown from such a belief. The Shoah (Holocaust), the Spanish Inquisition, even current anti-Semitism is centered on this concept of the G-d of the Jews, regardless if individual Jews believe in this Deity or not. We all got sent to the concentration camps, we all get expelled from Spain, we all got shot at on the eve of the Sabbath by that terrorist not so many weeks ago. People don't ask Jews if we personally believe in G-d to hate us.
It's just like I tell some people: I believe Jesus of Nazareth was real. I believe he was a great teacher and the Gospels are based on some type of historical happenings (not that the stories within are always literal or precise). It matters not if he performed miracles or was resurrected after he died or ascended to heaven afterward. Should he come again as Christians expect him to in an amazing display of heavenly sights, I have no problem with telling him I don't believe he's the Messiah. None of those things are earmarks that the Jews have been waiting for in the Messiah or the Messianic Age. I have heard from some atheists who I know who have stated they would probably believe like Doubting Thomas if confronted with a miracle-wielding Jesus, but I wouldn't. I wouldn't because I'm a Jew, and my belief that Jesus is not the Messiah is not conditional.
I'm a Jew regardless of what G-d turns out to be, whether I have the right concept of G-d or not. And G-d is real regardless if G-d is the stuff of legends or a transcendent Being because Jews are real. I am real. And for what it's worth, that is what makes G-d real.