I think it's even more important that you come at the topic in a collaborative way.

Everyone has been force-fed the idea that "the other side is totally evil and wants you dead" for years now - people are on a hair trigger ready to be attacked at any moment

Once they've decided you're on the other side they're not looking for common ground or to understand your position, they're just trying to win a fight. They're hearing whatever supports their viewpoint and ignoring any holes you've poked in their worldview

I think keeping it approachable is definitely important too, but I think this first step is where things so often go wrong