I don't see why would VidMe succeed any better than other platforms, I don't see it bringing anything special or making it actually be more "Wow!" than YouTube to warrant it this glory, and in the terms of replacement Vimeo and DailyMotion have been there for eons, among forgetton of others.
It's very difficult to shatter monopolies like this. I doubt even one hundredth of the YouTube userbase will even use VidMe. There are people that also just do not care, or support YouTube's cancer.