Sorry, you have this one wrong. This much at least was lifted from history. Just as in the movie, with the aid of renegade English nobles the French landed in Dover in 1216. The failing of the movie is that English are successful on the beach. In reality the French stayed for some time, moving about the countryside and laying siege to English castles. King John's timely departure from the mortal coil later that year is what actually ended it all.
I was aware of the French semi-invasion of 1216, which was really more of a case of the French dauphin being invited by rebels to become the English king, and bringing some of his own troops along. Much as King William did in the Glorious Revolution. It was not, as portrayed in the movie, a national war of the French nation to conquer the English nation. In fact, the French king publicly disavowed support for his son in this endeavor, though he might of course have helped him under the table.
I can’t remember whether in the movie the invasion was portrayed as led by Phillip or Louis.
In any case, the movie portrayed the invasion as only months after John became king instead of 15 years later, after John had time to piss off most of the English nobles, at which he had great talent.
Portraying it as French vs. English national war is a drastic mis-statement of the situation at the time. The political nation was composed of Anglo-French Norman nobility, who didn’t think of themselves as English at all, any more than the English absentee landlords of later Ireland thought of themselves as Irish. In fact, John’s loss of the English crown’s possessions on the continent was the main reason the nobility gradually started to think of themselves as English.
The language of government was still French and many if not most of the nobility had little aversion to supporting Louis over John in a dynastic rather than national struggle.
Also Louis’ forces did not land at Dover, as they beseiged it twice and never did take it. Louis has some claim to be classed among the Kings of England, as he at one time during the year or so campaign controlled well over half the kingdom, including London.