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What you don't understand is that there is nothing wrong with God's existence as an axiom. It is perfectly fine to presume it in science or anything else. It is rational. There is evidence for it. It's been done before and has worked quite well.

Name it. Define when using God's existence as an axiom has worked quite well. I want you to back this up.

... there is nothing wrong with God's existence as an axiom. It is perfectly fine to presume it in science or anything else. It is rational. There is evidence for it. It's been done before and has worked quite well.

I think we're having a bit of semantic confusion here over the meaning of "axiom." God's existence as an axiom is essential -- in the field of theology. According to Occham's Razor, it is not rational to insert God as an hypothesis into a scientific problem, when the problem can be resolved by natural explanations without the God hypothesis. And even in those numerous areas where science doesn't yet have a satisfying natural explanation, the God hypothesis isn't really an explanation -- it's just a technique for waving the problem away -- "No need to do any research here; God did it.".

Name it. Define when using God's existence as an axiom has worked quite well. I want you to back this up.

But in the true course of experience, and in carrying it on to the effecting of new works, the divine wisdom and order must be our pattern. Now God on the first day of creation created light only, giving to that work an entire day, in which no material substance was created. So must we likewise from experience of every kind first endeavor to discover true causes and axioms; and seek for experiments of Light, not for experiments of Fruit. For axioms rightly discovered and established supply practice with its instruments, not one by one, but in clusters, and draw after them trains and troops of works.
--Novum Organum

This will of his maker is called the law of nature. For as God, when he created matter, and endued it with a principle of mobility, established certain rules for the perpetual direction of that motion; so, when he created man, and endued him with freewill to conduct himself in all parts of life, he laid down certain immutable laws of human nature, whereby that freewill is in some degree regulated and restrained, and gave him also the faculty of reason to discover the purport of those laws.
--William Blackstone

These links by themselves answer your question providing you understand the significance of the documents?

I have to go back to work or I would have found links to Descartes, Pasteur, Newton, Roger Bacon, the founding of the western University system, the founding and evolution of our hospital system, the Declaration of Independence,and Adam Smith, Columbus -- all of which or whom treated God's existence as axiomatic in their deeds, discoveries or theories.