Healthcare in USA is ridiculously expensive in relation to the rest of the Western World, and people often argued that it was because there was no government healthcare system. However, from what I understand, a major reason for the additional cost is the litigious environment and the propensity for US civil juries to award huge amounts in punitive damages for medical malpractice.
In Aust (which has what has been described as a hybrid public private healthcare scheme), due to various reasons, and various laws applying in various circumstances, there are no punitive damages, it is almost impossible to get damages for lottery ticket type numbers. Even negligence that kills someone might lead to an award in the order of $100,000 or so. Instead, a lot of effort is taken to ensure underperforming medical practitioners lose their right to practice. As a result, it seems healthcare is way cheaper.