Not that way, he wont kill a Kaido that is in the ground unable to move. Imo Kaido will get up because of his awakening.
And after getting up he will probably rampage over Wanokuni trying to blow it up entirely (we alr saw what happened to a mountain with a simple Boro Breath, if Kaido uses all of his remaining power he could blow up all of Wano or a good chunk of it). With Luffy now being very tired because of the fight that he had he won't be able to save Wano from Kaido and that's when Zoro steps in.