You make some interesting points, but where did you get your statistic about only 1K women killed each year by domestic abuse?
https://www.upworthy.com/dont-believe-in-the-war-on-women-would-a-body-count-change-your-mind “The number of American troops killed in Afghanistan and Iraq between 2001 and 2012 was 6,488. The number of American women who were murdered by current or ex male partners during that time was 11,766. That’s nearly double the amount of casualties lost during war.” and the number killed is only a fraction of the number hurt. Violence against women is a national epidemic!
That’s not to say that male suicide isn’t a very serious issue and it absolutely needs to be tackled, but 20 years ago there were almost no mass shootings in schools and now we have several every year. That also needs to be addressed. In other words, none of this is an either/or problem. This country has a problem with violence and with gun violence in particular. It’s going to take a multi-pronged approach, but given that nearly all mass killers are men, and half of murdered women are killed by men they once loved, the entire thing needs to hinge on why do men kill themselves and others with guns.