I don't believe that the PS4 can beat the One on home turf (i.e; North America), not even one bit. If the global marketshare balance between the PS and xbox brands will change in any significant way for the 8th gen it will be all down to Europe and, to a lesser extent, Japan and the emerging markets later on in the console life cycle when the price is a lot lower.
I just don't think that the Ps brand is strong enough in NA to beat the xbox in the long run, day one million sales be damned. Remember, the 360 had a million selling week last holiday, black friday after 6-7 years and still such massive sales speak volumes of the xbox brand's power in the Americas.