Evidence for the existence of God

[Neo-Scholastic]

I am sincerely interested in why you think that. Could you please elaborate?

Firstly, the universe is most certainly not entirely intelligible.  Quantum mechanics basically goes against everything that appears intuitive about the universe, like completely rewriting the rules of cause and effect.

I agree that QM is strongly counter-intuitive. So also are our notions about the solidity of objects and the constancy of time and space intervals. I don't see that as the same as being unintelligible. As I understand it QM is one of the most thoroughly tested and consistent theories in all of science. Its perplexing findings just show that we need a better model of causality.

Plus, our understanding of physics breaks down in a black hole.  That's not to say that maybe one day we will be able to reconcile quantum mechanics with relativity, but there are definitely holes in our understanding that seem beyond our capabilities to grasp.

Sounds more like our current physical models of some phenomena are incomplete not that the phenomena themselves are beyond the reach of inquiry.

Even if we could figure these things out, they would be such esoteric solutions that only a handful of people on this planet would be able to understand it.  I wouldn't exactly call that intelligible.

Something can be intelligible without being widely understood.

Secondly, science has shown that human reason is notoriously flawed.  Our perceptions and thought processes are riddled with bias, and our memories have been shown to be largely made up of information our brain invented and cobbled together.

All of this is true. I would say in reply that people are able to overcome those bias. While in a particular illusion, one line may appear longer to the unaided eye, one can use a ruler to determine the actual lengths are equal. As I see it reason is self-correcting rather than inherently flawed. If two clocks show a different time, I can bring in a third, etc.