Max didn't waste too much time on talking (or beating) Mr. Stone.
The moment Max mentioned Rita and running her career (and breaking her legs), Mr. Stone started talking about their plan for the Alpha group and who all was involved.
Max was not interested in their plot against the Alpha group, even though Mr. Stone mentioned a few names they were not aware of before.
Since Mr. Bolton blurted out that Irene is after Liz in order to get to Max, Max's focus was on finding Irene. He felt an urgency to stop whatever Irene planned for Liz because he found it hard to believe that Irene just left without trying to sabotage his chance of happiness… and all of his happiness is tied to Liz.
Based on the information they got, Mr. Bolton was the one to interact with Irene, while others focused on damaging the Alpha group.
