My friend and I were just talking about this! She says she can't sleep at all during the full moon phase. For me, it varies, but this time around I seem to be feeling better and sleeping better (knock on wood).
My husband works swing shifts and he said he can tell when there's a full moon. People's moods change, how they drive changes, etc.
I really agree too that the science aspect and spiritual aspect are intertwined. Although Science tends to promote themselves on facts, I think they overlap into some spiritual things too.