No he won't. Luffy always fights the strongest opponent and it looks like it'll be Luffy, Law and Kidd fighting him in a 3v1 - in all likelihood they'll wear Kaido down and eventually it'll be Luffy vs Kaido 1v1
Zoro always fights the second strongest enemy, which is either King or Queen; most likely the former. He's a swordsman, or at least wields a sword, so this makes sense. Kaido doesn't fit that profile