Moon is only making a small local halo in the already local clouds!! You do know that the clouds you see are just a tiny fraction of the cloudsystem and all clouds above earth! Still moon only make a tiny local halo in the local to you clouds!!
with a 2160 mile wide sphere moon 238,000 mile away, the light reflecting from a sphere moon should spread outward and lit up all clouds evenly on the side of earth that is facing towards moon..