i doubt this will happen, any immigrants with kids, the local council i believe have a legal right to house them, but why should Brits who've been on the waiting list for years be pushed further down the waiting list
More polically motivated xenophobia

It's not a new policy at all and already happens in many areas.
The EHRC (Equality and Human Rights Commission) say that there's no evidence that social housing allocation favours foreign migrants over UK citizens.
As it stand right now Immigration status already impacts entitlement to social housing.
Generally speaking, eligibilty for social housing states migrants need settled status (ILR) or be an EU worker giving them the right to stay in the UK.
Again, generally speaking most new migrants, including asylum-seekers, students and work visa holders have no entitlement to social housing.

My point is that we suffer with career politicians who only have their own interests at heart.
These highly imaginative and new policies are already in place and have been for some years.