Between Two Alphas

What happens when two twins who hate each other and who will do anything to put each other down, want to achieve the same goal and become the next Alpha? And what would happen when they find they both have the same mate? Who also will decide their future about who'll become the next Alpha? Especially, in a place that was and always will be dominated by males? Would she be able to adjust or she would be tamed by her mates?