This is a really broad question and it really depends on what kind of style/mood you’re going for in your scene.
Are there any practicals in the scene? (Street lights, lamps, flash lights, LEDs, etc.) There are many movies that will forego the use of any moonlight and just have the practical lights light up the scene. Just so we’re clear, a practical is any object in the scene that emits light. So if we have a lamp behind a character, we can give him a rim back light to make it look like it is coming from the lamp, even though we’re using another light to enhance this. Good examples of this are from Roger Deakins who shot “Assasination of Jesse James” and “No Country for Old Men”

Now you can do the standard moon light lighting, or Hollywood lighting. This matches your reference footage. What you want to try to do is keep the foreground darker than your background. This will help give the feeling of the foreground characters being in shadow. You can also add back lights and rim lights to set the characters apart from the background. Play with silhouettes and shapes in your shadows. Put objects in front of your key lights to break it up and add visual interest. You can see that they did this for the Dawn of War trailer by adding a cookie, or Cucoloris (tree image with transparency), in front of the the key light. Once you establish your key, you can then add a bit of fill depending on whether or not you want to see more detail in an area. This would be bounce light and much softer and darker than your key.
When lighting with moon light, remember that the source is far away. So the shadows are actually quite hard, because we’re closer to the ground than we are to the moon. You can also give it a slight blue tinge and desaturate the image, since color is the first thing to go when we get into low light situations. You can also add a bit of shallow depth of field to simulate a camera lens being wide open to help sell the effect.
I hope this has been helpful in some way. Good luck on your thesis!