A mandate to buy insurance from a company is just going to make that company even more wealthy. Far better and more simple for everyone is to provide the basics of health care through a single payer system that the government installs. You may want to pay for extras, but at least the basics are easy to get and affordable.
Mandates in health insurance are not better than single payer systems. To be clear I am not a favorite of either system but to say mandates are better is wrong. Mandates only cause more people to be upset because it takes away their fundamental freedoms of choice in this country.