Perhaps there can be a new scholarly field dedicated to what it is to be Jewish, that way it wouldn't be simply a matter of religious nor secular authority telling people about it. I'd call it Judiology.
I am an Israeli who lives in community that is 75% da'ti leumi comunity and 25% black hat community. I suspect that the one guy down the road might also be an athiest. So yea, I am a closet athiest. Married within an orthodox family, with grandchildren.
Now, why would I care one iota who gets to make up the rules who can join a religion where I not only don't believe that the Torah is from God, that I don't believe that there is a God?
I don't. In fact, I would prefer that they make it so tough that NOBODY will join. "You're not satisfied with your myth of God, Hey, tough shit, we don't want you either!" It would be best for the world. Looking for a monotheistic religion and can't stomach the pseudo-monotheism of Christianity or the wacky "Let's kill in the name of Allah? Here's an idea: go worship a rock or wake up."
That is my expression of it as an atheist. If I were to put on my "make believe I care" hat, I would express dismay at how the chareidim are controlling who gets to join and can "un-convert" people, and I am encouraged that Shas and other such parties are excluded from the coalition. With a secularlist in chare og the education system, keeping a stranglehold on the Chareidmim in Yeshivot, we might see some other negotiations. But then, I am speaking as one who has no share in the World to Come! :D
According to a few rabbi's and religious Jews I have talked to after coming out as an atheist, when I say that I used to be Jewish and now I am an atheist, they said, nah, you are not an atheist, you are Jewish! Next time I am going to say, who cares or what difference does it mater what you want to label me as? You just need to find fun hobbies and activities to do so you know you are having a nice life given that this is the only life there is, and why worry about or care who your ancestors were or which system of nonsense and obsessive-compulsive behaviors they did and believed in?