I did say they "did get beat sometimes" -- but yes, that's a pretty interesting idea. But then -- had they won a significant part of North America, would the events of the 20th century have happened as they did?
and AngryAmerican -- you should care about them -- not only are they a next-door neighbor, but are a large enough population to make them something to watch.
Crecy, Poitiers, Agincourt - the French didn't have it all their own way in Western Europe before Waterloo...
I did say that at the time of the Battle of Puebla, the French had the largest, best-equipped army in the world. Puebla was a fluke, and the French went on the conquer Mexico and install a puppet Emperor to rule there. There are theories that the French hoped to use Mexico as a staging ground to move north in support of the Confederacy during the US Civil War. They supposedly wanted to split the United States in order to prevent the rise of a New World military power that was greater than they were. Good thing they didn't succeed, given 20th-century events...
Don't worry, gkmcc -- not French-bashing, but kinda funny because no one thinks of the French Army having a presence in North America after the Louisiana Purchase. The French Army did get beat sometimes -- but don't forget that they were a formidable enough foe to have controlled the lion's share of western Europe from the time of the Franks (5th century) all the way up until Napoleon lost the whole enchilada at Waterloo. Kinda hasn't been the same since for les francais.
OK, it's funny, though it's French-bashing - but it's true, at least the part about the military victory. On 5 May, 1862, Mexican forces defeated a French army at the battle of Puebla; however, the French - who at the time had the largest, best-equipped army in the world - went on to conquer Mexico, installing Archduke Maximilian of Austria on the throne of the Second Mexican Empire, which lasted until 1867.
Cinco de Mayo is a minor holiday in Mexico; it is celebrated in the United States as a Mexican-American cultural holiday.