You cannot prove that there is no evidence for something not existing.
Can you prove there is no evidence that big foot does not exist? Aliens, unicorns, golden mountains? This is a standard argument.
It is possible that an infinite number of things do exist in another possible world.
We cannot know whether these things or possible worlds exist either as they are completely disjointed from our world. We can speculate on their possible existence by using language to express this. But since there is zero empirical evidence for these possible alternative realities existing, we reject that they really exist besides when we use this type of logic as a thinking tool.
What is the best case that can be presented to show god exists, the strongest evidence?
Since there is no empirical evidence for God or gods existing, why would you think that gods do exist?
Do you “sense” that this is the case? That’s not what we call evidence for something existing. How about how inaccurate all of the biblical accounts of the universe are? Is that evidence for gods existing? What about the number of contradicting accounts of the thousands of gods that humans have ever documented? Is that evidence for gods existing? The capricious and seemingly immoral character of the Abrahamic god? Is this also evidence?
The claims of believers are reducible to claims that have no empirical justification. It is just a “feeling” that translates into “faith”. Faith in a deity or deities.
So what does that matter?
Maybe it gives you meaning in your life, sure that’s good. But what does this have to do at all with understanding the world that we can perceive? It’s an illusion and a fantasy to believe in gods that intervene in our lives. Or come down to earth and play chess with our civilisations and social dealings. Gods that know our fears, hopes, dreams, and desires and will make them happen if we make the appropriate propitiations.
And what about those who do not believe in the same gods or God that you do?
Are they lesser people? Defective or destined to burn in Hades or hellfire?
What if concepts such as sin are simply category mistakes? Things that we attribute to human nature that derive from medieval dogma and superstition.
Belief in gods makes us less clearly understand the world around us. This can affect the way we understand each other as humans and the way we understand our place and role on earth and in the universe.
A universe which shows no evidence for an intervener, a tinkerer, a designer who placed the atoms all in just the right places, guided the process of evolution and loves us all. This is a hallucination. Just because many people believe it, does not make the case any stronger.
A deist position could be the most defensible, but then where does the deist god come from? Who created that? Where does the absurd infinite regress that results from this end?
If you say that this is beyond human logic, then this is nonsense. This is literally a meaningless contradiction.
The laws of nature are wondrous enough without the requirement of a theistic god, or any other deity for that matter. If you want a type of spirituality, then you can cultivate your sense of wonder about these types of mysteries. Proposing a creator who can suspend the laws of nature and change the course of events to make things happen for us is fantastical and magical thinking. It has no grounding in science. We should accept that gods do not exist, but we should not also have to prove their non-existence.