I can see the idea which you espouse where God cannot be proven logically. We have always known that.
If you google on "logical proof of god's existence" you will get some idea of how limited your "We" is. I didn't bother to read all 1,100,000 hits, and many of these are refutations of various proofs or not really related to the topic, but there are hordes of sites espousing classical "proofs" or proposing new ones. Many of these make quite amusing reading, but are presented with complete sincerity.
God cannot be dis proven using logic, either IFyour premise is that He/She/It would by definition stand outside of time.
Now you are debating the topic rather than adjudicating its admissibility. Let's first get the topic promoted. Then we can start the debate.
If you want this to go in Faith/Belief, it might be helpful to also articulate your faith and belief in relation to your topic proposal.
The proposed thread is not about anyone's personal beliefs about the existence of god. It is about the possibility of a logical proof (or disproof) of that existence, and, as a corollary, what constraints such a proof would have on the reality of any god that is logically provable. If that makes it inappropriate for the 'Faith and Belief" forum, than it is your call as to where it best belongs. My faith and belief concerning this topic proposal is articulated in the first three lines of the OP: that a logical proof of god's existence is inconsistent with a timeless god. My faith and belief concerning god himself (herself, itself, yourself, themselves, those-selves, etc.) is irrelevant to this discussion.
What I am trying to do in this thread is to address all those people and arguments (and they are legion) that are convinced that god's existence is logically inescapable and that the agnostic and atheistic position can only be held by disregarding the compelling force of logic. In my OP, I propose to do this with a single, simple overarching argument (rather than arguing each 'proof' individually) that shows that all such arguments are necessarily invalid. It is this argument and position that I wish to see debated in this thread. I believe that my argument is valid. But I may be wrong. It's happened before. Well, okay, it's never happened before; I was just trying to show a little humility. But the discussion might be interesting.