What is more important, public health care or public education? If you are a healthy child with caring parents, you could walk to the library and self-educate yourself. For example, Abraham Lincoln.
In contrast, if you are sickly, you won't be able to go to school. Or, if you are an adult with health problems and no insurance, you won't be able to maximize your potential either personally or economically.
The point I am making is that public health care is even more essential to our country than public education.