discovery of a land mass = creation of an idea of government?
“America”, as opposed to the “United States of America” includes North America and South America. Or as we say, Columbus discovered America, even though he never even hit the mainland, but started out with Hispanola. England’s first great explorer of the U.S., John Cabot, was Catholic.
Lots of places in the U.S., Canada, and South America are named after Columbus. No place is named after Luther.
The earliest U.S. settlers in Florida, California, Virginia, and Massachusetts were not Lutheran, but mostly Catholic, Church of England, and Puritan (who had no use for the Lutherans).
If you want to fast forward to the United States; founding in 1776, there is but one Lutheran and one Catholic signing the Declaration. The other Founders would largely be Deists, Calvinists, and Anglican/Episcopalian. Calvin spent much of his efforts attacking Luther.
Now, if you want to simply go with the Lutheran idea of the source of church/state authority, it would be a very small piece of the puzzle. In practicality, after the Treaty of Augsberg, Lutharan sovereigns had problem imposing Lutheranism on their subjects.
Luther certainly wasn’t the only one to rebel against the Catholic Church, but I would maintain that the idea of America owes much more to the pagan Greeks and Romans, British Magna Carta, and the Catholic British Common Law than Luther’s ideas as such.
America as an idea has many contributing elements, just as she has many Founding Fathers, and many different peoples. Indeed, the idea of America shifted radically from the antebellum era, and again during the New Deal, and arguably again in the modern era.