Quote - However, the light from objects it's hitting, the light reflected, or what you see is acting like that object is the source and not just a reflecting object.  That is, the intensity of what one would see is obeying the inverse square law for the distance from that object to the eyeball.

You got a very important point here. The light comming from the Moon is a plane wave that doesn't depend on the distance, so you must use a directional light. But the reflected Moon light is not more a plane wave, so it will have some function of distance, not necessarly inverse square, and this reflected light will illuminate the scene. You will need to use extra spot or point lights to simulate the reflected Moon light illumination. The illumination of the reflected light is much stronger and the direct Moon light is much weaker.

The number of light, its settings and position can be tricky. In general three or four lights should be enough. You can use a skydome or background to make stars visible and/or use it as a secondary illumination that can be very strong in some nights or none at all.

Unless you have a rendering engine able to deal with wave optics where only one directional Moon light would be enough.

Stupidity also evolves!