I have a feeling that, except for Kaido and Big Mom, no other villains in this arc will receive different treatment from Tobiroppo/Jack and that includes BM's sons if they get involved in this war.
Nah I don't think Queen and King will suffer the same fate. They'll get their due diligence.
As for the BMP, I can potentially see big montages of Luffy's crew and allies fighting them off while Luffy and Kid fight the Yonko. One theory I had was that after King and Queen are defeated and Onigashima lands, it's possible Law or Yamato back off from the Yonko fights to handle Smoothie, who'd clearly be the next major threat after them.
Granted, this would have to mean Oda actually involves them once the island lands. It is the only reason imo why he has currently left Franky, Jinbe, Nami, Usopp and Brook relatively healthy. Hell, even Chopper seems to have some weird shit occurring with him that may be relevant to him fucking them up.
Basically I wouldn't expect full blown round 2 battles, but I CAN see Oda delivering alot of montage/exposition type fights that end in several major one shots or offscreened battles (leading to a conclusion at least) ala similar to Peros and Jack this chapter.
The 10 Numbers (if the are relevant still) and the BMP are the two variables I'm not sure about currently. I'm confident CP-0 won't do much though, but the threat to potentially trying to take Robin I can see, which is possible since since were monitoring fights and the last thing we see is a Mary watching them.