The reason that the theory is important is because without understanding why people think, act, emote and respond as they do, there is a risk that your interventions will at best do nothing and at worst make things worse.
Suppose that the reason for violence against women is to do with the way that men understand what they are, what women are, what positions each have in social interactions, what social situations mean, what emotions are available and so on. Fixing the situation then needs to be a matter of building practices that change how these meanings are constructed. It becomes a root-and-branch job of understanding every interaction we have, what contribution is made by every piece of social discourse, what every cultural artefact and ritual says about these meanings. Only by making alternative constructions will we render it confusing and odd to react to a woman by raping her. What does the way our TV programmes, our newspapers, our personal conversations, our schooling, our stories, our games and toys say about how we relate to ourselves and each other? Which of these things constructs masculinity as to do with ownership, pride, rage-as-response, entitlement? And femininity as passive, a possession, a trophy, there to please?
If we then instead just concentrate on the idea that, for example, we give lessons on how bad it is to rape people, that might help. Or it might do nothing or it might create brand new constructions of identity and intersubjectivity that actually re-emphasise masculine power and choice. I certainly don't know. It's probably important to know, though.