I would not trust my kids safety to "Zuckerberg will be restrained by the possibility of bad press".
And at this point, let me say you seem to care about your kids and probably have the technical skills and attention to make sure they never end up in his database. But you are an exception, and society needs to protect the children of parents who care less.
I’m not feeling bad for him, but I’m also betting he’s not about to do something stupid like that.