Liverpool's squad reminds me of what ours was like after the Bale sale. They've got a lot of bodies, it's certainly deep, and there are some what you would class as 'big name' players in there who you'd expect to turn good.
However, it will all basically come down to whether they all buy into Klopp's regime, not just his philosophy or vision.
If Klopp goes in there and tells his players they need to run twice as hard in training than they have done under previous managers in order to implement his GEGGEN PRESSING football, with a squad that varied he's bound to get some players who either can't do it or won't want to do it. He'll also run into players who were promised certain things under Rodgers and will be straight onto the phone of their agents disgruntled because this Herman has come in and won't play him like he was promised. As a comparison, the reason United were so successful for many years with some relatively shite players on paper is the same reason Chelsea have also been so successful under Mourinho, or why perhaps despite being the most expensive / talented squad in the Premier League ever City aren't as successful as they should be under Pellegrini - for whatever reason whether it be through fear or respect or loving appreciation (or lack of thereof), having the right players willing to train hard to fit the manager's system is clearly just as important if not more than deciding whether they've got a decent looking squad on paper.
Therefore, clubs like Everton and Spurs might not have as big squads with big names as Liverpool, but they've got more streamlined, drilled set of players who have already been indoctrinated into a way of playing for their managers that Liverpool must now mould. Unless Klopp really is capable of making all those players happy and buy into his regime straight from the get go, then it's bound to take a bit of time (although given Rodgers' penchance for pressing football, shouldn't take as long as it has done for Spurs between Sherwood and Pochettino for example).
No matter what the Media thinks or how apparently good this Liverpool squad is, no reason in my mind to think Spurs (or even Everton for that matter) can't finish above them for the 7th time in 8 seasons. All this talk of 'but we're playing shit and still only X off top 4' very reminiscent of the situation we've had at manager junctures in the past. Aside from the Arsenal game, Liverpool have looked anything but worthy of points this season and it's only a matter of time as the spread of points per position increases that they would or will get found out if things don't change swiftly under Klopp.