I don't believe the Abramsverse has to have shared anything with what came before. It can be as different as they need it to be. Remember, a universe is not the same as a timeline; a universe is a distinct, physical location. A timeline, OTOH, is more like an idea. You don't create a universe, but you can create a timeline.
Nero and Spock simply travelled into another universe. That's how I see it.