Kaido didn't want smoke with Big Mom as she was entering Wano. Roger avoided directly fighting with Big Mom. Whitebeard avoided Wano in Kaido's presence. Shanks however was the one to enter Whitebeard's ship and clash with him, he was the one interfering with Kaido as Kaido wanted to attack Whitebeard, he was the one stopping Akainu and challenging both Marines and BB pirates.
Generally speaking, the Yonko haven't met in decades, they don't actively fight, they stalemate. So you are coping.