I think that the task of proving God exists is something that can only be done if God chooses to be seen. Otherwise it comes down to faith. I see the way an atom works and how it relates to our solar system, which relates to our own Milky Way galaxy. regardless of the similar structure of particles rotating around a central nucleus, I recognise that odds of something like that occuring under the evolutionary theory as almost impossible (highly improbable).
This also applies to the size and distances of the Sun/Earth/Moon relationship. The moon is the exact size needed to perfectly block out the sun so as to allow us a good view of the suns corona in the event of a solar eclipse.
The evidence of God existing is everywhere if people open their eyes and look. If God were to prove his existence by allowing absolute prrof ofhis existence, then that would negate the principle of faith which was instituted as part of the Plan of Salvation. There are also instances in our scripture that identify specific sightings of God specifically to certain chosen people.
To me, God exists. I am certain of it.