Warning, the following statement is not meant to start a canon fight!!!
If you actualy think of it, Enterprise mostly is jjverse. Think of evety time you see the line up of enterprises on the 1701 rec room or on the wall in the breefing room on the 1701 d-e. You never see the NX with the rest of the enterprises. That being said, there are lost of canon stuff like clocking seen in the show that the tos crew first encountered. Also star trek had a chance to fix this by adding the NX model to the 1701 e's wall in Nemisis since the show was being made at the same time. But the events in the jjverse line up better with the events in Enterprise.
Also, the split in the time lines only happend at the time of kirks birth, so the ENT time line would still be intact.
Don't get me wrong, a redesign on the NX would be cool.
Jest a thought, i think Enterprise might have been better taken by trekkies if the ship had a diffrent name??