If you think the way to save money on filling out forms is to let the government run it, you've clearly never paid taxes.
Not only have I prepared my own tax forms, I have also prepared bids for government contracts. We have a hodgepodge of government and privately funded health care, each with its own rules and forms. Imagine preparing tax forms by 700 (rounded off number of insurance plans in Seattle), if you're a doctor wanting to get paid. A 140 billion in savings is estimated by simply adopting a universal insurance form.
From "Reason"
Third, health care is a paperwork nightmare for patients, doctors, insurers, and employers. In 1999 The New England Journal of Medicine published a study that found it cost $300 billion annually to administer various health insurance plans. It takes some 3 million clerks and managers to run our health care system; thats nearly four times the number of doctors practicing medicine in the United States. It costs between $8 and $18 to file each insurance claim, and a third of them have to be refiled.
http://www.reason.com/0411/fe.rb.mandatory.shtml