Up to 4 your argument makes sense. However once you have asserted by assumption an axiom is true, you can either show it false by contradiction, or you have a model of the universe in which its true, so within that model 5 is certainly wrong. 6 is true, however the same argument can be made about assuming gods don't exist.
7. is a reach that doesn't follow from 1 to 6 at all. It isn't even provably true, as how would you identify divine influence if it were happening in 100% of experiments.
As for the temperature scale:
My point is the actual temperature we identify as 100 celcius may in fact be different from the true temperature at which water boils if some divine entity were causing the true laws of nature to be violated in all instances. In this case we would discover false laws based on the violations.
As for philosophy if you choose not to debate it that's fine, but truth has long been consider in the realm of philosophy by both mathematicians and scientists. Scientists discover truth about the physical world, these aren't the only types of truth.
You continue to misunderstand point 6.
My point is consider two models of the universe.
Model A is the model you gave before where the assumption is that no gods exists.
Model B is the model where god exists by assumption.
Neither model is inconsistent, so you cannot rule out either model as a state of the universe. The only way in which an assumption can prove anything about itself is a proof of falsity by contradiction.
In Model A god does not exist is a true statement by assumption, this isn't evidence however because in Model B god exists is a true statement also by assumption. If you wanted to show god does not exist, you'd have to show that model A is consistent, while model B is not.
Model A provides evidence for god not existing as within Model A the statement god does not exist is true. Model B provides evidence for god existing as within Model B the statement god exists is true. None of this evidence is useful however as it is all circular reasoning and as neither of these models is consistent assuming a statement doesn't result in its proof.
Con (AoS) -> Con (AoS + 'God does not exist')
Con (AoS) -> not Con (AoS + 'God does exist')
would say that if one assumes the axioms of science are correct then one is forced to conclude god does not exist. This means any argument for the existence of god would have to argue the scientific method was wrong. However these statements have not been shown and from a logical standpoint are not derivable unless there are axioms of science that imply statements about god.
If you propose to advance a rigorous argument I suggest you use Models properly. If you'd like I could suggest a formal logic text or a model theory book, I've studied both.