For the familiar points of disagreement, most people (on all sides) resort to first-order thinking and low-effort culture war agitprop. That provides short-term validation, but it doesn’t spread knowledge and it’s not persuasive to those who disagree.
To persuade and to get smarter ourselves, it’s important to focus on systems-level thinking. Here’s a list of highly shareable, high-quality answers to the issues that frequently come up around gun rights.
A Guardian study showing that murders in the US are extremely concentrated to specific areas and demographics, which suffer under rates of violence an order of magnitude higher than the median
Alan Korwin answering the question “Why do you need an AR-15?”
Korwin also level-headedly addresses the subtle inherent flaws with the idea of gun registration (he doesn’t use the term “base rate neglect”, but nicely encapsulates the concept):
The Feed, “Gays & Guns”:
BuzzFeed, “Grandmas Shoot Guns for the First Time”:
Keanu Reeves at the range: