As an American it seems to me that the UK government insists on finding a way to upset all sides on any given issue like illegal immigration. If anything it's the singular and unique skill of Whitehall.
But being critical of your leaders isn't the worst thing in the world. It's fairly bipartisan too; most of the people who voted for our current PM just a year ago now disapprove of him. A high level of public scrutiny on one's leaders' is probably quite effective at preventing totalitarianism. Whatever can be (often justifiably) said about our ineffective leadership, what we do have is a good track record for stability.
However, sometimes it's really just cynicism for cynicism's sake.
https://yougov.co.uk/topics/politics/trackers/support-for-th...
IMO this is a gimmick and probably won't have much effect either for good or bad. I would vote against it given the chance. But there aren't that many British people who feel especially strongly about this.
Unfortunately the British people are rarely given a chance to vote and even more rarely listened to.