Create a National Medical Academy that is similar to the 5 military academies that will produce an army of doctors.

I always had a problem with the fact that we have five military academies that generate military officers for war and not one national academy to produce an army of doctors and nurses for the health concerns of those soldiers and others. I do recall in the U.S. Constitution that the country is suppose to promote science and art.
Then why the unbalance of an advance wealthy nation to address war and turn it's back on protecting the health of it's soldiers and citizens? Why can't we have an national academy to produce doctors and nurses with the same high standards that we have at our military academies? Why not take the great  young minds of our nation and develop them into the greatest doctors and nurses like our military officers.