I'm going with Kakashi high difficulty, Kakashi at this point has realistic experience.
I think Kakashi's 3t is being severely underestimated, that gives him the pre-cog to counter Neji's CQC.
Considering Neji's rotation barred 9 tailed Naruto's kunai. I see the same with Kakashi's chidori, which is much stronger than a kunai...
Kakashi wins with tactics similar to when Neji fought Naruto. Due to his experiences fighting.
Hype puts Kakashi higher as well, but that isn't necessarily relevant.
He has precognition but that's not going to save him when Neji's taijutsu is much better than his own. Eventually he'll tire out and from Gai and Lee's explanation, hidden lotus was required to take down Neji cuz of its high speed movements
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. That alone shows Neji can react to anything Kakashi has to offer. Not to mention a technique like 64 palms isn't going to be easily countered with precognition when he can strike 64 times with such movements.
Chidori isn't stronger than Naruto's punch, it juts has more penetrating power. Rotation would prevent it. Also, Naruto punched Neji when Rotation was incomplete. Neji can easily evade Chidori if anything.
Lastly, Kid Kakashi doesn't have 3t
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Edit: Actually he had access to it after Rin's death. My bad.