Why leftys are scared to be wrong

They believe in compelled speech. They have convinced themselves that they are right. If they are wrong their own principles makes them enemies in their ideal society.

The conservative side (for the most part) wouldn't want them to be censored, but under their own rules if they are wrong someone should silence them (the Stalin fashioned way I mean), ergo they must fight to the very end to impose their ideas as the right ones. Is, literally (for them, at least subconsciously for the naive), a fight to death.
So, if they are wrong, they are dead.

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If you spot mistakes in my post, I'd be glad to know to correct them. Thank you.