Surely those who need refuge from the worst Islamic regimes are the women, not the men?

As for the housing market, yes, it'd still be in a bad state with zero migration. But at the moment, it seems that we can't build enough to keep up with the migration alone. And when we do manage to build loads of homes, we completely neglect most of the infrastructure needed to support them.

We haven't built a reservoir since the 90s. Transport is a real problem, with the roads overloaded and in bad condition while rail projects seem impossibly slow and costly (HS2 is probably the last one the UK will ever attempt?). And then there's the NHS, policing+prisons, education system, and so on.