andyt andyt:
  We do allow private clinics in Canada.  Any doctor is free to open one.  They just can't also work for the government system.  If the demand was there for paying for faster service, those clinics would be more common.
I believe you're only half right.  I don't think Health Care providers in Canada can charge patients for services that are covered under the public system, if the patient has public coverage under any circumstances.  There has been some testing of this limit, however.