How to manage different light sources?

Moon, originally uploaded by jiihaa.

Snow, originally uploaded by jiihaa.

Here are two photographs of the same landscape. In the first, I deliberately included three very different light sources: two artificial ones and one natural (moonlight). I feel the result is not good, the colors clash with each other. Here I used the automatic white balance on the LX3. Of course, there is the possibility of tweaking it to get a better balance, but I don't think you can do it well.

In the second image, there is one prevalent light source, and here I could have tweaked the image so that the color balance would match. However, I chose not to, to think a bit whether the image would work as it is now.