The initial clash probably gets rid of most of the small fries in this fight, so Franky is at an initial disadvantage because he has more fodder. From there Burgess' Surge Elbows and Galleon Lariettes will do a bit more damage to Iva/Kuma/Franky than Galaxy Winks and Franky's attacks will do to the other team.
From there Burgess and Sanji should win their respective encounters. The most lethal consideration in this match is Kuma repelling someone into the spikes. But since Burgess has knowledge on him via Sanji, and he's got his own 1ko method via seastone, on top of a range advantage, I'd say the match up most likely goes to him. Whereas Sanji has a 100% chance of winning against Ivankov, even if a battered Franky might barge in.