I'm sorry but this just doesn't work. A society that abandons hope for the redemption of the worst transgressors of its social norms is a society like the US, with the fifth highest incarceration rate in the world (after El Salvador, Cuba, Rwanda, and Turkmenistan). You can't just kill the traitors just like you can't just imprison all the murderers and political dissidents.
Redemption does work. It is documented within the most extreme circumstances. It's not easy and it requires time and resources. But it can only happen with patience and kindness. And I admit that this brings with it a lot of contradictions but I won't be a part of an extermination campaign no matter how grotesque the vermin might appear.