Earlier quoted context omitted.
This implies there's better logic than sheep logic, and that some subset of humanity is privy to it, which feels like the source of the problem in the first place; people thinking that they're better than other people and reacting to that feeling. Wouldn't another definition of "sheep logic" just be "society", and don't we kind of all agree that society (though not without drawbacks) is vastly superior to no society?…
Perhaps we should stick to what we in society generally agree on: the rule of law and equal application of it. Having non-mainstream beliefs or opinions isn't illegal, and I don't think people should be losing their accounts and data for things that aren't illegal. We already take that approach for public utilities; your water can't be shut off because of your political affiliation or membership in some unprotected c…
The pro-trumps will raise the question: "what are the other-side so afraid of, that they are trying to shut us off?" So instead of calming them down, it'll actually have the opposite effect - the feeling that the other side is much more evil than imaginable.
And the questions for bystanders will be "If the powers-that-be can snuff that side, what guarantees that I/we won't be snuffed?"
If you see the foundations of democracy, 'Freedom-of-speech' is actually a device to ensure no political party can have dictatorial powers over what the public can know. Moreover, democratic societies are actually more resilient due to these 'room-to-wiggle' - the other option will be much more violent 'revolution' experienced by dictator-states at their end.
Anyway, the other side is producing gibberish, then so be it. Just refute them properly inside a shared platform.