The "wrong extraction" issue is somewhat related to psychology. If you respond too harshly, everyone will withdraw; if you respond too softly, you won't be taken seriously. But shouldn't we aim to find a balanced tone that fits everyone's language and say, "Look, this affects us all, if we stand together it will be resolved"? Still, if the group isn't going to take a clear action, it's important to throw out a small test question at the start, otherwise you might end up sacrificing yourself for nothing. For example, something like, "Do you think we could say something in common about this topic, what does everyone think?" as a trial.