Again, who knows if it'll ever happen but Enterprise is now the only series that exists in both the Prime and Abrams timelines so the history is shared by both.
Actually, we don't know that for sure. Everyone assumes that the timelines diverged with Nero's incursion from the future but there could have been multiple divergences before then. For example, one of my own self-amusing pet theories is that what were seeing in the NuTrek universe is actually
our timeline in which the Eugenics Wars never happened, at least not in the 1990s, and there was no Third World War as such, either because a temporal incursion prevented them from happening or because they were caused by a temporal incursion in the first place. It could explain why so
many things are different in the NuTrek timeline and why technology is more advanced, because they never had to recover from that massive devastation.