I have no interest in controlling them, or killing them.

This is why you lose because they have interest in controlling you.

I just want their plot ended and those involved punished.

This is contradictory to the previous claim in that you need power to achieve this.

How does having kids stop them amassing power exactly?

First, it creates a mutually fulfilling bond between you and a woman, who might otherwise go off and become a spiteful feminist, assuming you are capable of being the patriarch that a Man should be, which is doubtful in your current state. Second, it gives you direct control over a part of the next generation, again assuming you have the will to insulate them from the regime's indoctrination instead of abrogating your responsibilities to the system. Civilization is built by Men who plant trees in whose shade they will never sit. But, it sounds like you would prefer to wallow in your own hedonism and enslaved by your materialistic vices, so have fun with that.

I have no interest in controlling them, or killing them.

This is why you lose because they have interest in controlling you.

I just want their plot ended and those involved punished.

This is contradictory to the previous claim in that you need power to achieve this.

How does having kids stop them amassing power exactly?

First, it creates a mutually fulfilling bond between you and a woman, who might otherwise go off and become a spiteful feminist, assuming you are capable of being the patriarch that a Man should be, which is doubtful in your current state. Second, it gives you direct control over a part of the next generation, again assuming you have the will to insulate them from the regime's indoctrination instead of abrogating your responsibilities to the system. Civilization is built by Men who plant trees in whose shade they will never sit. But, it sounds like you would prefer to wallow in your own hedonism and ruled by your materialistic vices, so have fun with that.