I came here for almost the same reason you came here... to try to ensure synchronization with my OneNote files across my diferent computers. Looks like Office Live does not support OneNote.
Do you have MS Groove? Groove, it looks like, is going to have to be my solution. I am having to down-grade my Vista Ultimate x64 machine to 32bit as Groove does not support file-sharing in the 64bit environment. Also, check out the Live Mesh application. Your work-place may have an issue with your "meshing" your work computer, but if you mesh your home computer, it should be accessible at work depending on the authorizations your IT folks give you on your machine.