There are always going to be people who are psychopathic, and people with poorly controlled violent tendencies.
So I think the two approaches to minimize violence from such people are either reduce their opportunity, or reduce their numbers.
Reducing opportunity is largely going to involve things like social customs and expectations that make it harder for bad people to access women, or easier for women to get away from them. So domestic violence shelters, effective police work. And then things like the kinds of rules we have around safeguarding, don't go off with strange men alone, etc. Of course there are downsides to that kind of safeguarding in terms of autonomy, and the courts and police are constrained in order to prevent miscarriages of justice. So it's a balance.
As far as producing fewer predators. Psychopaths are probably always going to be a fairly fixed part of the population, so others might be a better target. One element is to change the way the culture thinks about sex. It's not a popular view but I think a casual attitude to sex tends to lead to a more casual attitude to assault. Reduce sexualization of women in the media and especially porn. So that all speaks to values.
But also, there will always be people who struggle with antisocial desires. Something we've failed on as a culture is that self-control is something that people get better at through practice, and it doesn't always stay in the lines. A person who has poor self-control is going to find it affects them with many things, where it doesn't it's usually the things they aren't so interested in. Our culture positivly encourages an attitude that says we have to satisfy our desires and waiting for the right time is not seen as especially praiseworthy. It works against consumerism and acquiring debt. We don't really encourage sexual chastity, either, it tends to be made fun of.
If we want people who have good self-control we need a culture that cultivates it.
My two biggest things that wouldn't require a wholesale change in individual's values would be getting rid or porn, and probably changing the drinking culture. A lot of domestic violence and sexual assault correlates with drinking and it also makes women vulnerable. Men who have FAS or FAE also tend to be more impulsive and are overly represented in the prison system so maybe it would even help with that.