And you with your rose tinted idealism lumps everyone into completely the opposite categories...
ALL immigrants are skilled, qualified high earning, net contributors,
ALL benefits claimants are entirely genuine and are on benefits through no fault of their own and definitely aren't using benefits as a lifestyle choice,
ALL public sector workers are incredibly hard working, efficient and entirely committed to their jobs.
In answer to your question, surely one simple way to "encourage" them is by not allowing them the choice of doing no work or minimal work and claiming benefits instead.
And maybe they might be more encouraged to do those jobs if the pay levels weren't so low... the pay levels being so low because the employers are able to use abundant cheap migrant labour.
It's all about joining the dots and is really not that complicated when you take the time to do so.
I said:
"The problem is you really do lump everyone in those groups into the same category.
That clearly is not the case."
By inference that works the other way, so of course not ALL are skilled...blah, blah, and frankly it's condescending of you to suggest that's what I meant.
You certainly could go down the route of of not allowing the choice of no work. The practicalities of forcing people into jobs they don't want to do are massive, but mainly I would suggest for the employers. If you lost your job tomorrow(assuming you have one as your presence on here seems to take up quite a bit of the working day), how long would you expect the system to provide some benefit?
As for low pay, you're right at the most basic level. But imagine that to encourage your kids to go and work in the local abattoir/care home/hotel, salaries are now lifted to such a rate that the end product becomes unaffordable to anyone but the rich. Eventually those businesses become unviable. So less jobs, more out of work... It's a vicious circle.
We all want highly paid and preferably highly skilled workforce, but the very nature of that also requires a sub set of vital occupations and workers who will, unfortunately, be left out of that category. As I used to say to my colleagues who would instantly notice if their workspace hadn't been cleaned overnight for whatever reason, but had no idea if their general manager had been on leave for a week. The absence of one had an immediate impact on their working environment and was paid a pittance, the other not so.
Oh, and PIP isn't work dependent.