New people and new ideas are fine. But would you really be happy with a new television series that effectively took place in a different universe from the established one? Because if you would be, I literally can't understand that one iota.
So if there was a new tv series that took place in the Mirror Universe would you be just as rejecting?
The point is it's not a different universe. It's just a different timeline. I'd be happy with a series showing the E2 timeline from ENT or a series showing one of the timelines from that TNG ep with the multiple timelines. I'd be happy with one of Braxton's timelines. It's all the same universe, just showing Our Heroes after different choices are made.
It's ironic that you mention TNG's "Parrallels", because as far as I personally am concerned, THAT'S exactly what JJ's Trek is. A different universe from the Shatner/Stewart/Brooks/Mulgrew/Bacula one. The new movies take nothing away from the old shows, and with 285,000 parrallel universes out there, there's no reason why they should. Both are equally valid in their own way. Pine commands a USS Enterprise in a completely different universe from Shatner, but Shatner and co are still there.