Answer:
The battle betwen Simba and Scar
Explanation:
Simply that Hamlet in the main protagonist and King Claudius is the main antagonist, like Simba and Scar. It wouldn't be like either the love or the friendship because their relationship is negative, and I doubt it's the hyenas and Simba, because the hyenas are pawns to Scar in The Lion King. Claudius is more like the leader, less like a pawn, so I think that it's the battle between Simba and Scar.
I'd be happy to clarify if any of that didn't make sense, btw.