When there is no way to reach a substantiated conclusion by the scientific method, then one must extrapolate as logically as possible and reasonable within their worldview. From outside, this has the appearance of a coin-toss, where the theist\deists see the coin landing on heads, the atheists see the coin landing on tails, and the agnostics see it landing on edge.
Just to follow on from Stile.
Concerning your extrapolation; if the extrapolation is not based on some kind of evidence, no matter how indirect, if will not be rational.
It seems to me that, if there is any kind of evidence, even if only remotely connected, one can honestly form a provisional opinion, but it should include a notion of uncertainty. The more remote the connection, the higher the uncertainty.
Absolute conviction either way concerning gods seems unjustified, as, at least in public discourse, evidence must be shareable.
I am not convinced by all this talk of world-view. Things are as they are, and that does not change according to people's philosophical notions. Opinions that do not match reality are false, after all.