Throwing the kids into this mess is the last thing they should do. You can't strip this team down, and then throw any promising prospect we have into a crap environment. God knows how many promising players have been ruined by organizations rushing them into the NHL, and then letting them fester on a losing team.
I'm building around this group from the current roster: McDonagh, Moore, Kreider, Stepan, and Hagelin. I think Lundqvist is there by default given his new contract. Same with Nash, but if we were committing to a new plan, he might welcome another trade to go somewhere and try and win a cup.
Secondary guys I'd probably keep unless I could get a very good return: Zuccarello, Dorsett and Boyle. Teams need players like this, even the rebuilding ones. A couple of solid 4th liners, and a scoring forward who may have found the next step in his development as an NHL player.