This is true, unfortunently you forgot the basics of light formation.Light comes in different parts of spectrums most is unseen for example the thermal region or the UltraViolet region.Each produces light at different energy proportional to its frequency.So on the moon electrons move up and down orbitals and hence produce light.So your telling me the earth and moon would shine with no sun relying on it's own 'energy'? I am not sure I can honestly buy that!!! Light has a source, take away all the stars and there is no light!!!