Adding the usage chart that shows pre/post Skype/clearsea removal (removal stats starting at row 6)
So what I noticed in this sleep study report is that you are probably not running the factory load of Windows 8.1 on the Surface. We don't run the factory load either and we're having battery drain issues as well that I've attributed to Cisco AnyConnect. However what we are also missing in our corporate image is the hibernate after 4 hour setting that's in the factory load. I can tell from your sleep study that you don't have it either because if you did, your longest Connected Sleep sessions would be 4 hours long. Once we implemented that, we went from around a 45-50% battery drain overnight to about 15-18%. Not perfect, but an improvement. To get further improvements, we'll need to get Cisco to address it in their software.
There is a hotfix (KB2955769) you need to install and the registry settings are mentioned earlier in this thread.