So not getting the respect of primma donnas in Mbappe and Neymar makes him a horrible choice? I think that is a poor argument. We don't have any players that put ego over the club. Klopp himself wasn't world class in any sense yet every one of his players improved under him.
Getting Allegri would virtually take all the work we did to move towards progressive football, down the drain.
Other than the disagreement with Dortmund's CEO on how they handled UEFA's demands, seems his biggest gripe is not having control over transfers. Never saw eye to eye with either technical director.
Personally, I think the squad is ready for him. But that said, if Lampard/Cech had full control, I don't see how he wouldn't? How much control he wants over transfers would definitely need to be addressed during the negotiations.