Obamacare sets the price for various medical procedures and treatments which makes repealing government involvement in healthcare extremely easy.
The patient is issued a voucher for the amount the government says the treatment should cost. The patient is then free to choose whichever hospital/clinic/drug they want and if they find a supplier for less than the cost of the voucher value, they can pocket the difference.
Very simple, very effective.
The long term funding problems will remain but this system would drive down healthcare costs dramatically which would allow the value of the vouchers to be reduced overtime. In the long term it lays the foundation for government exiting the healthcare market completely.