No, he will not fight solo against kaido.
All plans formed by kinemon were for group battle, in none of them even considered the possibility of 1v1 against kaido, nor does luffy want that, luffy wants to HELP defeat kaido, sanji and zoro want the same. There is no such thing as making way for Luffy, the big mom is on the ground and following the logic of the opening they will have to go through it first.
Group struggle, this is the way in which oda found respect for the strongest being in 1v1 of the entire work.
All sheaths + a warrior race, Luffy does not want to go 1v1, otherwise he would deny help from zoro and sanji, and would not join the sheaths, as the sheaths will die, this will make way for luffy to go 1v1 with kaido, with zoro and sanji busy with calamities, but it won't happen, Big mom is on earth ... The attack will fail and Luffy will not even reach Kaido, he will not be able to get past the big mom. Their priority is to ignore any opponent and go to help the scabbards against the strongest 1v1 kaido monster in a group battle.
That is a shame but it is the reality, if luffy defeated kaido in 1v1, he could already take his boat and go get the one piece.
Luffy will not lose to anyone at ALL ONE PIECE.
Still, I expect a brief (even if short) moment of kaido vs. luffy, I want to know how kaido deals with a person with the ability to visualize glimpses of the future and good haki weaponry that can hurt your scales.