Oh goodness, there were 4.7 million US soldiers in the first world war - out of a US population of 102 million at the time. Surely that must be major?
So, yeah, we don't tend to think of WWI as much as being one of the major wars we were involved in. The major wars we tend to think about in our cultural consciousness are the Revolutionary War, Civil War, WWII, Vietnam War, and then because of the recency bias, the "global war on terror" in Iraq/Afghanistan. WWI is covered in history classes of course, but primarily from the western front perspective, which the US didn't get involved in until the war was almost won.
WWII was the start of a new world order with the USA at the forefront.