Tug, re your first paragraph, I have produced no figures that suggest the rate is declining and may reverse.
I would be fascinated to see any such.

Para2, not all our ills. I specified those ills due to a rapidly rising population. For many years now, immigration has been the main driver of that, and it is not xenophobic to state that.

para3, "so do we" No. Our points based system is not working to stem the flow.
Re EU. Most of our immigrants are not from EU.
We were one of the few EU countries that CHOSE to allow unrestricted access to the new accession countries.
We must live with EU migration unless we renegotiate membership, and could limit outside migration to compensate. That might be seen as xenophobic.