...and then the very next day, without adult supervision, you started saying your dates weirdly and dropping the “u”s out of words, stuff like that.*
* DISCLAIMER: May not be an accurate representation of history. :P
True, but nowadays we say "Independence Day" :-)
12/25 is often called Christmas, and yet 9/29 is never called Michaelmas. Same thing.
But one of their biggest holidays is explicitly called "4th of July", changing the ordering.
"4th of July" is not a method that Americans couldn't use if they wanted to, but it is an ossified usage that doesn't reflect how Americans generally refer to dates. Like Christmas, it is a proper name of limited evidentiary value.
This might help explain how Santa delivers all those presents in "one night".
Calling Christmas Eve "Christmas" is not common at all.