So… I'll give a shot at a write in.
The way I see it, the best approach here might be to invoke Two Dialogues, One Conversation, at least with Hank; in other words, let Father word the truth in a way that he thinks is turning the situation around on everyone and using rhetoric to manipulate them to his side (in actuality projecting his own neuroses, probably), but word it in such a way that everyone (or at least Hank) either interprets it sympathetically or as something more "palatable" (an adult going to extreme measures to discipline unruly kids is probably more believable than a sadist attempting to murder them en mass).
It doesn't really address the Hero/Villain or working with the government talking points, but since this is specifically in relation to Hank's points, I wasn't sure it was relevant.
This'll be just a rough draft for now, but I'd appreciate any help adding or rewording it.
[ ] "Rationalize" It
So you were brought on here to be humiliated, eh? Well, no one does that to you! But getting angry is what Moltar wants, that much is clear. Maybe you can turn this around instead... you can use this! Yeah, pull a dark lord like in that one movie. You even had a fully operational space station that one time!
Why do you hate kids? The real question is, why don't you? Because they're family? Because they're cute? Because they're the "future"? Pfft. Yeah, a dark, stupid future that just continues all the problems of the world later, maybe.
You've known firsthand since you were a child. The simple fact is, kids embody everything that is wrong with people. They're selfish. They're fickle. They're petty, spitefully rebellious and have no principles. They lie, and cheat, and manipulate, not just their own parents, but even to each other! You can love and shelter them with all your heart, and they'll still either leave you or stomp it to dust!
The KND themselves were a cult of personality that turned kids into child soldiers and spread anarchy wherever they went, and justified it as "freeing kids from adult tyranny". And what exactly did they do with that "freedom"? At best, they just fool around and do nothing of value for the world; at worst, they rampage and commit atrocities adults could scarcely imagine!
For all people act shocked, or unimpressed at what you've done, a kid would have done even worse if they thought they could get so much as a rare Yipper card!
The funny thing is, even for those who claim not to hate kids don't really respect them from what you see. These naysayers thumb their noses at them, dismissing their potential and arrogantly sure of their own power over them, even as kids rise to power in their own right! Are the likes of Mandy and Mandark not proof of this? How many times have kids bided their time, playing the part of a dumb and innocent youth, only to backstab and toss to the curb anyone that stops being useful to them? Can you honestly say your own kid hasn't lied to you, Hank? Hasn't turned his back on what you believe in?
Yeah, they're "just" kids. And those kids have most adults wrapped around their fingers. If most people were in your place, those "kids" would have chewed them up and spit them out.
You do what you must against kids because most "adults" are too complacent! They don't understand the only way to keep kids under control is through fear and force! And because adults are fully developed and in control of themselves, you can easily just stop before things go to far. Why, it's not like you actually would have baked those kids into a cake if you succeeded! (Okay you would have, but they don't need to know that; if they're so squeamish, they're more likely to believe it anyway)
Point being, at the end of the day, you're promoting American values to an overlooked demographic sorely needing them! You're giving them direction, stability, morals! If people think that's a bad thing, then even if they don't hate kids, you guess they don't really care about kids at all anyway!
(Edit) Oh, and if Moltar or 362 think they can butt in again? Well, they wouldn't take issue surely? Why, it would be hypocritical since Moltar isn't exactly lawfully hiring them, is he now? (You don't want to push too hard there though, but even if you're not antagonizing Moltar, make it clear you can drag him down down with you if he forces your hand!) Serves em right for thinking they can pull one over you!
