I assume the taxes used to support Britain's NHS substitute for health insurance. For the US, I found the following about Health insurance:
"For 2012, the previous report, annual premiums for employer-sponsored family health coverage reached $15,745, up 4 percent from 2010, with workers on average paying $4,316 toward the cost of their coverage. A single or Individual employee's coverage cost $5,615, with the worker on average paying $951 out-of-pocket." (http://www.ncsl.org/research/health/health-insurance-premiums.aspx)
This is for 2012, five years ago! For sure, costs haven't gone down.
You're going to pay for health care one way or the other. So, which system do you want - socialized medicine or that which the US has? The whole idea of insurance is to spread the risk. Some folks will never have cause to use much of the benefit because they are healthy, live long and suddenly die. Others will have incredible demands on the care system even if they have short lives.
One thing about the US system that opponents of government sponsored health care is that folks who don't pay anything for health insurance will still get health care. They will go to an emergency room or clinic for care and never pay for it. The care giver will recover their costs from those who do have insurance raising the cost of insurance. Hospitals, clinics and health care providers are not going to lose money else they would be out of business, even for non-profit establishments.