Well I guess "Kill the few to save the many" works as a definition for the "greater good".
I believe that majority of the stability will come from the Imperial Legion/Stomcloaks, depending on who you choose to side with, and not the Companions.
You can save many more with your "Gift".
It will allow to become better at killing unjust scum.
OT:Stormcloaks will not provide stability!
If by some loophole they "Win", Skyrim will be lawless and many more will die in the following war.
While the Evil Thalmor gains power.