When you figure out the secret for knowing you're right and they're wrong - objectively, such that you could prove it and none could deny it - let everyone else know.
Both sides think they have the facts on their side.
I'm not saying you personally are wrong, but the odds are stacked heavily against you, and the point is you have no way of knowing when you're right, and at least some of the time you'll be wrong.
And you'll be more certain than ever in the latter case.
This doesn't "wipe out nuance", it encourages nuance, because it encourages humility and curiousity when it's needed most.