Your references are interesting, but not one of them is a logical demonstration of the necessity of the theistic axiom. They are personal opinions only. Work in all the fields you mention can and does progress in the absence of that axiom, so I still say that outside of the field of theology, the axiom is not a logical necessity.
To be certain that I'm being clear here, nothing I'm saying is intended to disprove the existence of God. Indeed, nothing can disprove God's existence. But to assume God's existence as an axiom adds nothing which is essential to the work of science.
Can one survive x number of years without a belief in God? Sure. Can one make contributions to science and technology without a belief in God? Absolutely. Edison was certainly an agnostic, arguably an atheist. But the political culture in which Edison worked was based on an assumption of God (see Blackstone;) as was the scientific climate (see Bacon.)
They are personal opinions only.
No, they were the opinions and observations of Blackstone and Bacon. :-)