I, and several others on here, have been saying exactly this for a while. The poor who have been struggling have been told that they are racists, ill-educated and stupid. The response to "there are too many people" (because there are not enough school places or the wait for a Council House is forever), is that we should just build more schools, hospitals and houses rather than block immigration although the ten years that would take is too long for "my child", "my elderly mother", "my family".
Absolutely it is a class issue and always has been.