I'm looking forward to Klopp coming in but I also wonder if perhaps he might be a tad overrated.
He is probably an upgrade on Rodgers, yet I can't help but think Rodgers would be close to the same level had he won the league a few years back. ie a Manager that took a pretty talented squad and squeezed the most out of it. Of course Rodgers didn't, so we'll never know if he could have used that a launch pad for further success or not. But that's offset by being in a far tougher league, with so many more real competitors, and Klopp's success coming at a time when Bayern were relatively weak and vulnerable. He was also given more time to build up to his success, without being weighed down by the expectations that will come with the Liverpool job, and which clearly affected how Rodger's success if defined.
I can't help but think Klopp's success as much due to his being in the right clue, with the right support around him, as it is for his actual ability. The clearest area where he is an improvement over Rodgers would appear to be in signing new players, but we're not going to see any evidence of that for at least a year.
None of this would matter if the Carlo Ancelotti wasn't also available atm. I don't particular like Ancelotti's style and I'd much rather see Klopp bring the same sort of success to Anfield as he did for Dortmund, but it's hard to argue with Ancelotti's track record. Success with multi clubs, albeit with more talent and resources at his disposal than he'd have at Liverpool. I think he'd be the far better choice to bring success in the short term than Klopp. It also seems like he's the better choice to fix our most obvious failing, the defense. It's hard to say whether Klopp is a better option for building long term success. Dortmund haven't exactly flourished since is departure so you can't really say he built a solid foundation there, though it's not really comparable since Bayern focused on taking their best players.