"The plan is to gather the more unhappy of the visitors. So let's divide and conquer. We should figure out a place to meet so we can learn what everyone's strengths are and how to proceed with using them to the most advantage."

Brute strength or mental strength. Both will be needed to get what they want. Mukuro isn't really a team player most of the time, but he needs to be able to see what they have at their disposal in order to use it to his advantage. Typically he doesn't really play nice with others.