I agree that violent revolution would cause many deaths. But these viewpoints are not going to atomically swap places, but rather gradually diminish support.

Conspiracy theories are direct responses to the official narrative being crafted as a gradient of opinion-facts that frame a political conclusion as if it's irrefutable. When rationality is abused to marginalize a viewpoint, that viewpoint shirks rationality.

Suppressing counter-sanctioned viewpoints ultimately just causes that divergence to continue growing, setting it up to pop even more drastically. If the goal is to prevent fire, the best approach is to not have fuel sitting around. If you truly want to prevent violent collapse, then work to oppose the corrupt controlling agenda that's being pushed "rationally", rather than low-effort shouting down of wacky opposition.

PS note that's all from a solely USian internal perspective. It's not really any consolation to eg the dead Iraqis that the US avoided a domestic revolution by killing them instead.