Just because your a good player/pundit doesn't make you a good coach, look at Gary Neville in Spain.
I can't see Klopp bring any ex-players in, he seems to bring his own people in from Germany, also, Klopp has an overall tactic of play for the team, as a full unit, if someone like Carragher came in and concentrated on the defence, that would affect the rest of the team tactics, so while Klop is manager I do not see it happening, though I think we need someone in to sort the defence out, as after 2 years it's still a shambles and that's not just down to not buying the players we need in defence.