I’ve been considering making a presentation for the local Democratic party discussing that very subject. There’s a fair amount of evidence that public opinion isn’t strongly in favor of gun control. Of course it’s hard to prove since the most common way to measure such things, polls, can be easily manipulated (just ask questions in a leading manner, then when you present the poll claim they were asked something balanced).
Another way to measure it would be to look at places where liberal policies like drug reform and minimum wages get voted in easily, but gun control laws either fail or just barely squeak by despite there usually being a significant disparity in the campaign spending.
On the other hand I doubt putting in the work would be worth the effort, most likely I would just get a chorus of “Think of the CHILDREN!!!!” in response.