There's a BIG difference between it being seen to work for the benefit of politicians and Jo public, to what actually happens in real life of which the public are not aware!
I don't understand this paragraph. So... you're saying there's a difference between things that work for the public's benefit and things that don't? Okay...
For example HMRC when they are confronted with immigrants with no N.I. number and tax reference, claiming all sorts of benefits. It's a time consuming minefield
I'm not denying that. But again that's a fault in the administration for not dealing with it properly. I don't think anyone would seriously object to better recording/administrating of immigrants (and to be fair I can see that this would be a mammoth task but I still don't see that stopping immigration is going that much easier)
You seem to think that barring immigration would serve as some magic elixer to solve all the administrative problems of the Civil Service, which is frankly ludicrous.