I do not think so.
I think Yamato is going to step into the fight at some point but don't think it will be a 2v1 against Kaido at all.
It will be a 1 vs 1 Luffy vs Kaido as Luffy told Law and Zoro
For Big Mom it's different the goal is not to beat her but to get her out of Kaido here
On the other hand, she will find herself facing several opponents because she is much too strong.
Kid with his fruit can embarrass her even he does not master any advanced haki.
Law is the same with his cheat fruit, he can indeed hinder her even if he masters no advanced haki.
Other characters will join Law and Kid to retain Big Mom which will allow them to have a prominence without beating Big Mom.
Big Mom will be when she beat in Erbaf.
So many clues show us that the fight between Luffy and her will take place on this island without forgetting the story between the giants, Big Mom, Prince Loki, Lola, Ussop and Luffy.