They can't use the name Nintendo either because that has a bad rep with the "hardcore" crowd. Also yes get rid of the Wii name, who cares about the brand recognition to the 80+ million who bought Wii's.
I think they could easily get away with going back to the
"Nintendo Entertainment System", with everyone simply referring to it as
"The Nintendo" like they did back in the 80s. It's simple, it's to the point, and also lends itself to multiple incarnations (NES, NES 2, N3S, NES 4, NE5, NES 6, NES 7, etc). They could immediately start out with the proper
"NES 6", which would ultimately look much better than
"Wii 2" when sitting on the store shelf next to higher numbered machines (PS4, XBox 180). Besides, the way I see it, "Nintendo" is the brand that should be marketed... encompassing the console, the games, and the service.
If Nintendo really wants to shake their image (which I don't think they do), a new name isn't going to do it. The so-called "hardcore" crowd will see through that anyway, as they keep themselves at least that well informed.