There's a lot going on in your post. Feel free to correct me if I'm misreading anything, trying to put all the pieces together. I don't want to parse the thing to death.
To answer the question above and the adjacent one in the poll, I'd have to say no. But it's a qualified no. Letting the 2A become political is what's driven us down the dark road we've been on for several decades. Doing more politics isn't the ticket out of this jam. Further, a coalition of "liberal and conservative gun owners" is still just a coalition of gun owners at the end of the day. That said, gun owners, as I figure it's defined here, means people who are passionate about the 2A, etc. and not just simply those who own a gun/guns. The two are distinct. However, gun owners are completely marginalized and are a very fringe minority bloc of votes no matter how you slice it. That in turn means that the power to influence something big, like a candidate for a high profile state office such as AG, is outside the scope of their abilities.
Lastly, organizing (as in people) is an art. If you take a look at successful social movements, they all tend to flourish when they capture swathes of the population with no vested interest. Same sex marriage is a good example. The tipping point was a broad change of heart throughout the population and that only happened because they forged alliances outside of their own tent. The 2A crowd hasn't done that, and at times have actively discouraged growing the base for various stupid reasons, mostly due to politics.
As for the more specific task of addressing, or just identifying root causes of violence, it's not a novel concept. But it's also a trap because lawmaking may state that such-and-such bill is meant to do just that, but in reality, the disconnect is heavy. That's not on accident either. Framing everything as an attempt to "reduce violence" is just words; the preface of lot's of terrible bills enrolled by the state over many sessions in the legislature. In other words, take those words with a giant grain of salt. For us as 2A advocates to engage that concept, the other side has to first be honest about their intentions, which they aren't.
More to the point here, for a long time the pro-gun community beat the drum of dO-sOMeThINg-AbOUt-mENTaL-hEalTH!!!! as a reaction to various high profile mass murders. The problem is, the other side listened. They listened so well that they came up with things like ERPOs (aka red flag laws) as the answer to that request.
The lesson is, be careful what you wish for.