I did not watch TNG or DS9 very much, because of the heavy soap opera elements. I would probably feel the same about the series suggested by the OP--sounds like Breakfast Club in Space, too much oversexed, angst-filled 20-somethings flying a space cruiser.
I would definatly watch a JJ universe Star Trek show. I would have regret in the back of my mind though. I wouldn't want to see the TOS, TNG, or any of the others played out on tv differently just because its JJ universe. Personaly I would like to see it set in the future and instead focus on one ship or one space station focus on those and more. Kind of make the Federation a character in the show like the ship or station has done. It can be done by having loved ones stories interconnected. In this age of tv the more complex the better. Add to that JJ Abrams flashy style of Star Trek and I bet it would be pretty good.