The "evidence" was that Newton's laws clearly did not explain all observations and Einstein's did.
There's a necessary but not sufficient condition to prove there's a deity. The necessary condition is that there's something beyond the physical universe.
That's called god of the gaps. And with each passing age there's fewer gaps for a bearded man to hide in with his kingdom. It's why we no longer believe Heaven and Hell are literally up above in the sky or Cosmos, nor deep below on the depths of the Earth. It's why we went from demons and sorcery to penicillin and lithium.
Einstein amd Newton discovered working models that happen to be as fundamentally incompatible with eachother as America's Bill of Rights and Jehovah's 10 Commandments. That doesn't mean it's a god behind it, it just means we don't know. And I wouldn't want to place my money on betting with god because those gaps keep getting filled in. If anything it's possibly a reason to dismiss the idea everything must stem from one singular point and cause. That's something this idea of a monotheist god wants because that's how it works for him amd how we have viewed things in the West since it became more uniformly Christian.
But if there's multiple universes, an idea that's gaining more traction and more if a following, then it seems doubtful everything stems from an original cause (which itself is a philosophical impossibility because it must be asked what caused the original cause).
Amd those kids, couldn't it be they saw something on TV and having no other explanation or understanding or knowledge of their birthmark, took to something they could understand as a reason for its existence?
And course many of those kids get debunked, it just takes someone who knows a lot about the culture the kid is claiming to have lived during. Like how it took an Egyptologist to debunk one little girl who failed to accurately recount how Egyptians during her alleged past life looked at and used horses. It's like needing a magician, a James Randi, to debunk another magician who was passing his illusions off as real and fooling many, including scientists who justs didn't have the background in magic and illusion to catch the con.