From the Brilliant Ideas that will Never Work file:

We know that there are waiting lists for some health care services. Some people have proposed permitting privatized health care as a solution to this. However, there is a great deal of concern that, since the waiting lists are generally a result of a lack of available health care professionals, any private health care service would just end up poaching professionals from the public sector, resulting in even less care being available for those who cannot afford to pay out-of-pocket.

We also know that there are quite a few immigrant medical professionals in Canada who are not qualified to work in Canada, but are perfectly qualified in other parts of the world.

Solution: allow privatized health care, but it can be staffed only by health care professionals who are not qualified in Canada but are qualified elsewhere in the world. Their credentials would be available and people who opt for privatized care could assess the risk for themselves. It would be regulated in such a way that working for the public sector is more desireable and beneficial than working for the private sector, but working as a private sector health care provider is more beneficial and desireable than, say, driving a taxi. Private-sector work would count as "Canadian experience" and help qualify the workers to work in Canada.