As an American I can confirm that, not only do we say “4th of July,” both phrasings are in common use for any date of the year. March 5th is more commonly hear

As an American I can confirm that, not only do we say “4th of July,” both phrasings are in common use for any date of the year. March 5th is more commonly heard in USA than 5th of March, but nobody would look at you funny either way.