Should the federal government provide health care for all citizens who cannot afford their own

I  feel that the government should provide free healthcare for citizens who can't afford it, because healthcare has become increasingly unaffordable.Without free health care coverage there will be a lot of  untreated illnesses. Having free medical insurance will encourage citizen to take their meds and inquire about problems early when treatment is still light, but now citizens often avoid physicals and other preventive measures because of the costs. It's a recession rigth now, most citizens are barely getting by struggling with every day household bills, let along medical insurance. I mean

why would the government want to live in a world with a bunch of ill people.The number of uninsured U.S. residents including illegal immigrants has grown to over 45 million.