The closest I can get to your experience is being in a room with phyletic ally organised biological specimen. I had a profound feeling of connectedness to a tree of life that went beyond the intellect.
I don't recognise that as being close at all to any of the 'experiences' I have had, and nor should I, because they have been all intensely subjective experiences. Even my wife accepts quite happily that she can't appreciate such experiences. However, thanks, for trying.
As I have already said, my experiences are just that, my experiences, and I certainly do not build my lack of belief upon them.