The real question is very different: what kind of evidence would you accept as genuinely pointing to the existence of the supernatural? If time travel were scientifically possible and you were able to go back and witness the Resurrection of Jesus (which is by far the best explanation for the events, unless someone is already entrenched in philosophical naturalism), would you accept it as a divine miracle? Or would you conclude, in order to prevent your worldview from collapsing, that he was using extremely advanced technology, perhaps acquired from aliens? Or that he was himself an alien, perhaps a member of another human-like race that evolved somewhere else in the Milky Way, a race that is hundreds of thousands, if not millions, of years ahead of us in terms of evolution? Those possibilities are not logically impossible, nor are they entirely absurd.
After all, even the Book of Ezekiel has been interpreted by some as describing encounters with aliens.
Or suppose two people see the apparition of someone whose death they did not yet know about, and later independently verify both the death and the experience. Would you take that as evidence for the existence of the soul? Or would you dismiss it as a coincidence and assume that their brains had produced a highly convincing illusion? Repeatability is obviously difficult in cases like these. And yet there are a great many such reports (so-called crisis apparitions) across countries and cultures.
And if you were to witness a person who seemed capable of knowing the unknowable (for example, personal details or even the inner thoughts of complete strangers) and it later emerged that this person was not acting as herself, but seemed to be under the control of something else, would you regard that as evidence of the supernatural? Or would you instead attribute it to some untapped capacity of the brain, one that gave her abilities beyond what human beings normally possess? Even psychiatrists such as Richard Gallagher Dr. Richard Gallagher, Demonic Possession Expert, Isn't Trying to Convince You and M. Scott Peck have published their own accounts of such cases, claiming that there are actually cases of demonically possessed persons. They have written books about them.
So, setting aside for the moment philosophical arguments for the existence of God, such as the cosmological argument, what would you actually count as evidence, without simply reducing it to promissory materialism?*
* John Carew Eccles : “I maintain that the human mystery is incredibly demeaned by scientific reductionism, with its claim in promissory materialism to account eventually for all of the spiritual world in terms of patterns of neuronal activity. This belief must be classed as a SUPERSTITION…We have to recognize that we are spiritual beings with souls existing in a spiritual world as well as material beings with bodies and brains existing in a material world” (Evolution of the Brain, p. 241)
And from the bilologist Sheldrake at the pages 9 e 10 here https://argos.vu/wp-content/uploads/2016/05/the-science-delusion-rupert-sheldrake.pdf : “For more than two hundred years, materialists have promised that science will eventually explain everything in terms of physics and chemistry. Science will prove that living organisms are complex machines, minds are nothing but brain activity and nature is purposeless. Believers are sustained by the faith that scientific discoveries will justify their beliefs. The philosopher of science Karl Popper called this stance ‘promissory materialism’ because it depends on issuing promissory notes for discoveries not yet made. Despite all the achievements of science and technology, materialism is now facing a credibility crunch that was unimaginable in the twentieth century.“
And then in the following page: “ The fundamental proposition of materialism is that matter is the only reality. Therefore consciousness is nothing but brain activity. It is either like a shadow, an ‘epiphenomenon’ that does nothing, or it is just another way of talking about brain activity. However, among contemporary researchers in neuroscience and consciousness studies there is no consensus about the nature of minds”.