I don't know if I have the energy to articulate this now, but I'll have a go.
More misogynistic cultures are more likely to perpetrate male violence against women and children.
But the same misogyny is also part of British culture. It's less here, but it's still a big part.
And that's the danger.
It means when someone from a highly misogynistic culture comes here - or a culture evolves eg online - they slot nicely into a pre-existing strand of British culture. The Rotherham taxi drivers were enabled by police and officials who call children "sluts", just as the police enabled Derek Warboys in London by not believing women. Many MNers describe being disbelieved and blamed after sexual assaults; there's a reason for the We Believe You campaign.
It's good to recognise areas of particular problem, to target them (eg consent lessons in schools, lessons for new arrivals). But these just aren't going to cut if the RL message outside lessons is, you can attack women and get away with it. Women are there for men's gratification. Etc.
I've been deeply frustrated at some of the more simplistic "war of the cultures: they must learn British culture" stuff. What, that if you're raped by a footballer on camera you can expect to be vilified online and harried out of your home? That British culture?
So if the problems are misogyny and sexual violence, we should call them that. Not use inaccurate proxies like "migrants' cultures". (Obviously migrants cultures can be misogynistic and violent. But the problem is still the "misogynistic and violent" bit, not the "migrant" bit.)