I'm not sure how you're interpreting that as the response to the political problem instead of "trying to calm down an agitated audience so that the response to the problem can actually be discussed". Peaceful, democratic govt doesn't work without dialogue, and this seems like a ham-handed attempt at getting back towards dialogue instead of yelling.
Precisely, it's ham-fisted. Dialogue means shutting up and listening as well as talking. Maybe she should have let the crowd vent their legitimate grievances for a while. Telling people to calm down when they have good reason to be angry is infantilizing them and demonstrates a disinterest in the depth of their feeling on the topic. It basically says 'I'm you're elected official but I don't actually feel like listening to you.'
