There is no way Kaido and Big Mom get both beaten by Luffy’s Hands in the Wano Arc.
Since Big Mom has unfinished business mostly only with Luffy and Kaido has unfinished business with the 9 Scabbards, Minks, Kid, Law, Yamato, Strawhats (especially with Zorro sooner or later due to his roots in Wano and his Sword Emna), I‘d say Big Mom gets beaten by Luffy but Kaido not.
My prediction is that Big Mom will find out about the last road porneglyph (somewhere near FMI) and will hurry straight to the place. Luffy on the other hand wants to stop her, therefore - shortly before Kaido gets beaten - he‘ll sail with Robin, Marco and Jimbei to FMI to stop her..in the end Shirley‘s Prediction about Luffy „destroying“ FMI could get true.. and the irony is (surprise surprise) that FMI is next to Enies Lobby, Impel Down, Sabaody Archipel and Mariejois. The Places where Vivi, Sabo and Hancock are probably kept hostage.