I've been wondering lately, considering when the British Republicans launched a coup upon King George III and Prime Minister Frederick North upon April 19th 1775 and the declaration of the United Republic of Great Britain - later, "and Ireland" - this set of the British Revolutionary War - also known as the War of American Loyalty. The result of this war would result in the permanent exile of the Royal Family to the American Colonies and the long standing rivalry/hatred between America and Britain, which has was only really resolved during the second half of the last century.
So, I'm wondering, what if, instead of the British revolting against the King, the Americans maybe declared their independence from Britain or anything else you can think of?