You must be able to define, or at least describe the Divine. What does it do? The scientific model should be able to observe it, if not directly then by quantifying its unique effects.
Bosons, for instance, have never been seen. They were hypothesised as the only 'things' that could explain why matter is stuff - why particles have mass, force, electromagnetism - and behave as they do. Particles in their raw state would just randomly zip around the universe at light speed, having no effect on anything. By patiently observing the effects of different particles bumping into each other, physicists were able to confirm that bosons exist and, eventually, to identify different kinds and how they interact with various types of particle.
It's not overly poetic to state that bosons create order out of chaos. They could also, given the right conditions, reduce everything back to randomly chaotic particles.
You could say, then, that God is a boson or all the bosons. I mean, you might not want to. If you did, though, it would at least be a scientifically coherent position. It still wouldn't explain why we should treat it as a magical being with its own intelligence.
The omnipotent, omniscient intelligence, God the Divine, is said to influence all things on a far higher level than the subatomic - geophysical events, biological processes, human decisions, a cat eating a bird. Compared to particle physics, it should be really easy to pick out one or two effects of GtD that cannot be otherwise explained, measure them and analyse the findings.
In fact, this is what people used to do. It used to seem scientifically reasonable to look at epidemics for instance, correlate them with 'ungodly' behaviours, and conclude that GtD smites naughty people with disease. Then people started to notice other correlations suggesting person-to-person transmission and, with rudimentary infection controls, show that holy smiting was not inevitable. Surprisingly early in history, thinkers hypothesised disease vectors as tiny organisms - much as bosons were hypothesised without seeing them - and, as soon as someone made a good magnifying lens, were able to see these "animalcules".
Medical science could've come along a lot faster if the thinkers hadn't been forcibly shut up by their various religious enforcers. My point here, though, is that the scientific model used to apply to claims of GtD, due to lack of other evidence. Unless God's stopped working in mysterious ways, it should still be fairly easy to demonstrate his unique and measurable effects.
Religion's continued opposition to scientific examination does suggest that it's given up on showing that God is real. It looks like the divine 'reality' depends on material ignorance.