You can achieve a fairly decent look by simply white balancing on an orange card instead of white card (like a manilla envelope). This is essentially what that video was suggesting. Although moonlight isn't blue per se, we have all come to expect moonlight to be blue in movies, so it works.
The biggest problem is the sky, no matter how you expose or adjust in post, it will still be lighter than the rest of it. If you've shot with a high quality 444 camera, and the sky was clear, or if the horizon is fairly easy to roto out, you can key it and replace it. Or just apply a filter to it to make it dark.
The softness of the shadows I don't necessarily agree with, the moon is still far enough away that it is essentially a hard light like the sun, just with a lower intensity. Of course, as with the sun, the diffusion will be directly affected by the cloud cover, and that definitely should be taken into account when you do your sky replacement, if any.
Night is tricky. D4N is tricky to pull off, real night is expensive and requires lots of planning, lights, power, cameras that can pull it off, etc.
CraigL