'Fraid I have no idea how it could be organised either, but one thing's for sure - no one knows how to pay for care, and something radical is going to have to happen. The Conservatives were very persuasive against Labour's proposal that people might contribute, say, £20,000 of the value of their houses (the 'death tax') so perhaps they would look more favourably on an insurance-type scheme.
Incidentally, em, I believe mothers can get Home Responsibility credits towards their pensions for looking after children, but not working age grandparents who take care of their grandchildren. That would be another good idea.
It's clear both that care should be rewarded and many of us may need care - so it would make sense to join them up, surely....?