There are other drivers behind domestic violence, some of which compound with alcohol as people use alcohol as a sort of self treatment - mostly unemployment, low-wage environment, high-stress work environments and a lack of access to mental health care. These three can be fixed or at least be controlled by decent minimum wage laws, workplace safety/worker protection regulation, and by investing into mental health care.
Another big part, particularly in rural/conservative areas or in young people scooping up the propaganda of Andrew Tate and his ilk by the mouthful, are toxic masculinity ideals... but honestly I don't have an idea how to fight that kind of ideology other than getting the mouthpieces deplatformed and arrested.