Klopp and Pep are completely different. Pep makes great teams unbeatable for a short term period and then he leaves. Klopp can build a juggernaut over an extended period of time. Both great at what they do but Klopp is undoubtedly the better fit for us.
I think the thing with Pep though is that he's too focused on tactics. It's gone wrong multiple times for him in the Champions League and I think he's in his own head. Because to win the Champions League against all these great European sides, a lot of it is about mental fortitude and getting through difficult periods in matches. With Pep, when someone figures him out tactically, his teams can't stop the bleeding. Klopp seems more tuned into the mental aspect and fighting for results.