I agree with you that Liverpool have found their game again and this will clearly have a very positive impact on Klopp. Because he has learned from last season where several players like Nunez also seemed to understand Liverpool's game, last season Nunez was still quite awkward and made more mistakes. But now Nunez has become Liverpool hero in several matches. Behind all that, Moh Salah also needs to continue to defend Liverpool, because without the assists that Moh Salah provided, Nunez might not have been able to perfect his execution. Hopefully Liverpool stability can last, because we want to see competition in the Premier League with big clubs.
At the end of September Liverpool will play against Tottenham Hotspurs in an away game. I think if they can keep their successful streak until then and not lose against Tottenham, I believe that Liverpool would count towards the hand full of contenders who could achieve a lot this season in the Premier League. It is not very likely that Manchester City will drop a lot of points along the way and that is why consistency will be absolutely key here. Dropping points against weaker opponents is a no go.
I'm also not going to deny Liverpool is fast enough in terms of improving their game. Last season they didn't appear very consistent but this season the spirit is clearly different. If Liverpool shows another extraordinary game then Man City will really take them into account. Because if I pay attention when Liverpool can overcome great teams, it means that next season it is very possible to return to the Champions League. Spurs can beat Man United, but facing Klopp's squad won't be as easy as we think. My prediction Liverpool vs Tottenham ends with full points over Liverpool.