Simply the Age of Enlightenment inspired the American Revolution that sparked the creation of the American Government.
European politics, philosophy, science and communications were radically reoriented during the course of the “long 18th century” (1685-1815) as part of a movement referred to by its participants as the Age of Reason, or simply the Enlightenment.
Enlightenment philosophers John Locke, Charles Montesquieu, and Jean-Jacques Rousseau all developed theories of government in which some or even all the people would govern. These thinkers had a profound effect on the American and French revolutions and the democratic governments that they produced.
The ideas of the French Enlightenment philosophes strongly influenced the American revolutionaries. French intellectuals met in salons like this one to exchange ideas and define their ideals such as liberty, equality, and justice.
The Union victory did solve a handful of problems, it abolished slavery and get rid of the Confederate Union but not every problem could be solved. Personally I would disagree because the Civil War had other problems right after because of the victory.