Metis....I think I am a bit more "open tent" on this....I believe a Jewish atheist might consider that there is no G-d.....after all, isn't that what an atheist is ...?....on the other hand.....your definition sounds reasonable too.
I would say the key is....it's the Jewish atheist who gets to define what it is...not some group of CJs and OJs.....
As for me.....I am a reform Jewish, Jewish humanist, Jewish atheist, Jewish agnostic, Reconstructionist and Renewal Jew.....and if the folks in the DIR don't like that.......
....oh well...back to my blubber hunt...
.....
LOL!
I use this as a definition of "atheist": a person who
believes there is/are no god(s). OTOH, I use this definition for "agnostic": a person who is
unsure as to whether there is/are a god(s).
I mention this because some apply the term "atheist" to the second definition as well, so when one talks about an "atheist", it sometimes is unclear to me which definition they're using.
Therefore, to me, an "atheist" (using the first definition) cannot be compatible with Judaism (still a "Jew" though), whereas an "agnostic" can, in my book, but then I tend to think that they must at least adhere to some or most of the Law. If one strips away both a belief in God and also the Law, how can that be "Judaism"?
However, one can certainly question both, and probably most of us do to a varying extent, so this questioning, and possibly even lots of doubting, still, imo, can fall within the "Judaism" range
But then, what do I know.