Shanks would throw a party with Mihawk. Seeing Mihawk's reaction toward WB, I think he would try to challenge other yonko. He seems to respect honour so I think he would despise BB for playing dirty in killing WB.
Boa doesn't care about anyone.
Crocodile would try to kill WB due to personal vendetta. Probably would challenge other yonko since he was suicidal in MF, tried to kill WB, told Mihawk to back off, attacked Akainu.
Doflamingo would be afraid of Kaido given he looked afraid when Law mentioned Kaido to him through phone probably would be afraid of, BM and maybe Shanks not sure about BB.
Buggy would start to piss off Shanks but he'll be afraid of other yonko.
Law seems to adore Shanks since in MF when his ship left MF, he still looked at Shanks. He made alliance with Luffy to kill Kaido so he might be indifferent toward Kaido and maybe BM and BB too. I think he might respect WB.
Weevil would adore WB. Would try to kill BB who killed WB. Neutral toward other yonko.
Kuma respects Luffy's crews loyalty so I think he might get along with Shanks and WB who treated his crews like family but would despise BM who didn't hesitate to kill her children or Kaido who destroyed Wano.
Jinbei respects WB and he would respect Shanks who sacrificed his arm for Luffy since Jinbei also protected Luffy multiple times. He would oppose other yonko who try to kill Luffy.
Moria has personal vendetta against Kaido so he probably would try to kill him. Tried to attack BB for getting back Absalom so I think he would not be afraid of other yonko.