I just do not know about Richard Dawkins. I have read his name mentioned as a leading atheist. You too mentioned his name in your post. Otherwise I would not have even talked about him. We have many Hindu atheists of our own, to name two, Gaudapada (
Gaudapada) and the pupil of his pupil, the first Sankaracharya (
Shankaracharya). We have various Upanishads which promote atheism and non-duality. I do not really need Richard Dawkins.
Who will check for evidence about whether there is a God or not. Only science can do that. Science will tell me if a person can walk on water or if a person can feed 5000 with five loaves of bread and two fish. Science will tell me if some one can change water into wine (that will be so nice). So in all testing science will be involved.
It does not matter at all if you do not know about Hinduism or Buddhism. Perhaps you will never be able to understand them with all your prejudices. We are free-thinkers. So be happy with your four books.