Can take the form of agreement between people in the minority group (synchronic consistency-they're all saying the same thing), and/or consistency over time (diachronic consistency-they've been saying the same thing for some time now)
The minority must demonstrate commitment to their cause or views. Sometimes minorities engage in quite extreme activities to draw attention to their views.
Members of the minority need to be prepared to adapt their point of view and accept reasonable and valid counterarguments. The key is to strike a balance between consistency and flexibility.
Hearing something you already agree with doesn't usually make you stop and think. But if you hear something new, then you might think more deeply about it, especially if the source of this other view is consistent, committed and flexible.