As for the taxes that we pay for health insurance, an employer simply cannot fail to deduct them from our salary. At the end of the month an employee gets a detailed document detailed listing of the earnings and the sums that have been deducted down to the smallest penny.
Storming someone's house with guns to collect taxes is unheard of here.
I'm not qualified to speak about the health care system in the UK, it is a unique case in Europe anyway.
When a person is unemployed here, there are hundreds of options for that person to get back on his feet.
At an employment office they train a person to write a proper CV, to present himself to job interviews, to write a motivation letter, to respond to the right ads. They test a person's capabilities and guide them in the right direction. There are training courses, financial help for getting into training programmes, and if someone decides to start his own business, there are courses to teach a person how to handle a business, from paperwork to accounting to studying the market.
With all of that put to the side, if meanwhile the job seeker gets a bad case of pneumonia, he can get treated instantly and in excellent conditions.