GCryssies use cardamine in their rituals, hence their association with the outcasts. Their cause is progressive, and tends to have more support among the younger generation according to canon lore. I haven't seen any evidence that they wish a matriarchical society - just that they wish women to have equal rights (basically a feministic struggle in a stubbornly conservative patriarchical society).
Since leaving the GC would mean death by cardi withdrawal, amnesty at this point would be a death sentence for all that would take this "gesture of peace". Doubtful anyone would be that stupid. Now, there -is- something in the works that could make this an option at a later stage... just not yet.
I agree that for the GC to have any credibility, they require a female figurehead. The organisation isn't female only though...
Wide awake in a world that sleeps, enduring thoughts, enduring scenes. The knowledge of what is yet to come.
From a time when all seems lost, from a dead man to a world, without restraint, unafraid and free.
Mostly retired Discovery member. May still visit from time to time.