The fastest way to have an efficient health care system would be to build it ourselves and separate ourselves from the insurance companies.
Health care for all children should be part of our school taxes. It should include children from birth to age 20, 23 if attending college, and pregnant women.
When we pay for car insurance, we are not buying it for maintenance and wear and tear. Homeowner's insurance also does not cover maintenance, etc. We should be able to get routine medical care at a fair price, and count everything that we spend as a tax deduction. Insurance should only be needed for injuries and diseases, and it should cost one tenth of what it does now.
There are plenty of doctors and nurses out there who are willing to simply make a good living, not a killing. So let them work for the government. We already have an Indian Health service. Why not a health service for the rest of us? We can provide educations to people who are willing to work for a good living. There are plenty of talented and compassionate young people out there who don't need to make ten times more money than the president and get rich off misery and suffering.
It would be cheaper to educate legions of healthcare workers than to continue to try to appease the insurance company monsters. The health insurance companies will never have our interests in their hearts.