I am glad that you are seeking, because a true seeker will find. I am also confident that you will see through Dawkin’s claim that science has made God irrelevant. Why?
For one thing, science has never demonstrated that anything ever happens naturally and without Divine guidance. To do this, science would have to demonstrate that our causal laws/forces of science are of natural derivation and continuation. However, science is ill-equipped for such a task.
More to the point, these laws or causal agents give every indication that they are designed and divinely pieced together (fine-tuned) to promote life. Science cannot disprove the divine origin of these laws but, instead, depends upon them for each of its findings. If these laws were simply a part of this universe, they would be changing as the universe changes, automatically voiding the possibility of any coherent scientific proclamation. Indeed, if it had been possible for our laws to have been created by an explosion (the “Big Bang”), there is no reason to expect them to be immutable and universal, making science possible.
We should not expect these laws to be elegant (simple), enabling scientific discovery and understanding. Instead, we should expect what explosions usually produce – Chaos!
But please continue your exploration. If you want the truth, you will find the truth.