Actually, you are only partly correct. The original union was a loose Confederation under the Articles of Confederation. But there were many problems with that system. Examples include multiple currencies with changing values, issues with tolls when moving between States, problems enforcing differing laws when a perpetrator could cross a State line and dispute extradition if the same law did not exist in that State. These and other problems with foreign trade, currency exchanges, land disputes, etc. led to a Convention to come to agreement governing all the States.
The Constitutional Convention ended up with the U.S. Constitution which would take effect when nine States ratified it. I used to teach American History to high school students, and was a teaching assistant in the History Dept. at the University where I got my Masters in History. I also aced Constitutional law while working on my J.D.
So, save your snide Logo...that's a laugh.