In the Washington Post's "On Faith" section, a story asks; 'Judaism without God? Yes, say American atheists'. You can have Judaism without G-d, much as you can have an "On Faith" section without anything to have faith in.
It's all a matter of definition. If you define Judaism by its covenantal document as a binding agreement between a people and the Creator of the universe, then an atheistic Judaism is a contradiction in terms. But if you define it as a cultural experience that calls us to social work and spirited debate, then it makes no real difference what you believe, so long as you volunteer at the Tikkun Olam soup kitchen.