He'll try! He's usually pretty good at calmly making people see reason or at least his POV, including people who are itching to punch him in the face, which probably dropped the number of punches he received in canon by half. He's also pretty hard to rile up or intimidate (although, TBH, "guy who is angry, much taller than him, and has a lightsaber" might do it... but he'd still veil it as much as possible).

That might also be a good time to talk about what I mentioned in the Discord plotting channel, which is: if we get a good idea of where the different captives are and what they've been taken for, is this group going to want to attempt to triage the rescue? If we don't have much info going in, then it's moot. If we do... whether to prioritize the murder sport captives or the sex trade captives is probably going to be a hard choice (hard labor captives are probably in less immediate jeopardy). And I think Mom's in a gold bikini again, so that might be another reason Kylo would have a strong opinion.