> gun violence
In some cases (e.g. the recent murder of Ahmaud Arbery), I think it comes directly from attitudes ingrained in right-wing gun culture and associated spheres. The murderers had been socialized to believe they were completely in the right to pursue, detain, and ultimately murder a man on no basis beyond their own (frankly) unhinged, malignant racism.
In other cases, I think it is less directly political and more a result of certain socioeconomic issues, organized crime paradigms, and the general availability of guns.
> gun recklessness
This is speculation, but I think subcultures that glorify guns and (sometimes hypothetical) gun violence are less likely to treat guns with the appropriate care and respect. It's not a sober mindset, and often these people seem to have a very clear idea of who they imagine they might shoot with their guns (yes, people, not animals) and very little empathy for them.
Even putting aside how toxic that mindset is by itself, the fact that your gun may just as easily kill you, a loved one, or an innocent bystander is a very sober fact, and not very compatible with said mindset. For instance, I don't think the kind of person who e.g. has the words "You're Fucked" milled on the inside of his AR-15's ejection cover^[1] is particularly concerned with minimizing violent outcomes.
Please note that I'm not saying all right-wing gun owners are like this. There are many, even those whose politics I may vehemently disagree with, who are perfectly responsible and sober gun owners.
^[1] https://en.wikipedia.org/wiki/Shooting_of_Daniel_Shaver