From the stand point of what we need right now he's got everything and not only his goals, but all around game.
Playing out from the back against a high press he can drop deep and be the extra man in midfield to help progress the ball. Aguero and Jesus used to drop deep as well, but Kun isn't great at holding it up or playing 1 touch passes back. Jesus is light weight and gets pushed off the ball easy when the opposition CB's close in on him. Kane actually does this when Mourinho played him as a #10 when they'd counter attack. He's ability to drop deeper and play in Son in behind him.
Attacking in the opposition half we also need a player centrally who can also have their back to goal with balls fizzed at their feet. Actually in previous seasons it was David Silva. A perfect example is when we won the league on the final day at Brighton. Laporte fizzed a ball into Dave who quickly 1 touched it to play in Aguero for the goal. Pep talked about how Dave was one of the best in tight spaces. Currently we have Phil who can do it, but there is a problem when he plays wide left he can't be central at the same time. Having Kane be that player who could control the ball to his feet with back to goal and get a shot off for himself or if we have one of the wingers like Foden or Torres tucking in next to him he could link up with them.
For me the problem is how much Levy would want and what we actually value Kane at. I don't think we'd want to be taken to the cleaners.