From a coaching side it's certainly better than what Brenda had but in terms of recruitment you're missing two key ingredients that made Dortmund so successful under Klopp... Michael Zorc and Hans-Joachim Watzke.
Well, Watzke didn't really have all that much to say on the actual football, it was more the financial aspect. And financially we've done a lot better under FSG than with H&G.
As for Zorc, sure, I'd love to have him. But while Zorc brought in players, it was ultimately Klopp's responsibility to manage these players. Klopp didn't bring in many, if any, players himself. In that respect, not much will change in Liverpool which is probably why it has been reported that the Transfer Committee system won't pose problems for Klopp.
The question is rather whether the Transfer Committee will be able to identify the right players. While Klopp didn't do the recruiting himself, no players were brought in against his will, and that part is key I feel. Klopp has a lot stronger personality and presence than Brendan, and I trust that he has gotten guarantees that he won't be overrun by the Committee, as reports have suggested.
Take a player like Markovic, who was bought for £20m and who I personally had high hopes for. Brendan never gave him a fair chance, and ended up sending him on loan. This is a player I think Klopp could have found a use for, with his high pace, ability to press and direct style of play. Or take Moreno, who Brendan kept trying to find an excuse to bench. He should fit in well with Klopp's style of play. The same could be said about players like Firmino, Sakho and perhaps even Ilori (at least his quickness is well suited to Klopp's high defensive line).
Benteke, on the other hand, I'm still unsure of. Yes, I'm aware he was on Dortmund's radar a couple years ago, but I would still have to see him prosper under Klopp before I can believe it. Balotelli though, now there's a player Klopp would never agree to sign. I can't even see him pressing a shirt. But I do have a strong feeling that Can will prosper under Klopp, although I think he could prosper under anyone given the playing time (and correct usage). AFAIK he's the only one in the squad who speaks German (not sure about Firmino and not counting Yesil). I think he will develop a strong relationship with Klopp, with the latter being able to get messages across without them being lost in translation. I have high expectations of him.
****, we could have Ayre as a DoF and I'd still be more optimistic as long as Klopp is the manager.