There is a “yesh omrim” that Independence Day should be celebrated on July 2.
In a letter to his wife, Abigail, John Adams wrote on Jul 3 1776:
The Second Day of July 1776, will be the most memorable Epocha, in the History of America.—I am apt to believe that it will be celebrated, by succeeding Generations, as the great anniversary Festival. It ought to be commemorated, as the Day of Deliverance by solemn Acts of Devotion to God Almighty. It ought to be solemnized with Pomp and Parade, with4 Shews, Games, Sports, Guns, Bells, Bonfires and Illuminations from one End of this Continent to the other from this Time forward forever more.
However, it seems like the halacha is not like him and we celebrate on the fourth.
The Wolf