I wouldn't expect a view of MK in any woods view room at WL. There may possibly be one or two on the very top floor, but I wouldn't count on getting that.
If you want quiet, though, that is very easy to get with a woods view room. The best thing to request is to not be too close to the lobby. Being away from all the lobby hustle and bustle makes a difference in the noise in the hallways.
If you look at a map of WL, you'll notice it's in sort of a U-shape. The inside of the "U" faces generally toward the pool and the lake (although you may not be able to see the lake), and those rooms are courtyard views. Woods view rooms are generally on the outside of the "U", facing out and away from WL. But WL is surrounded by woods, so those woods view rooms really do pretty much face woods. The bottom of the "U" is the lobby area.