As Judaism goes, if you're born out of a Jewish mother, you're Jewish. Even if you're an atheist, a buddhist, or whatever your faith may be, you're always still Jewish.
I'm debating religion in another thread. It can be done using context, historical data, and more.
Personal anecdote for you. I used to be a hardcore atheist. Nothing could sway me and it would come up in debates with religious folk. Logic was on my side and I agreed with your point of view that religion isn't in and of itself a logical proposition. Then one person asked a really good debate point.
"We can't prove that there's a god, right?" they said
"Right." I replied.
"Well, you can't logically prove there isn't a god, can you?"
"Umm, no".
There is no logical construct to prove that there isn't a god. Of course, there also isn't a logical construct to prove that the
Invisible Pink Unicorn does or does not exist either. As it sits, I can't honestly call myself an atheist since I can't logically prove that there isn't a god or supreme being. Does that mean I believe that there is one? No. But it means that as much as I want to, I can't logically close my mind to it either. Kinda sucks, but I feel as if that's an honest assessment. YMMV.