Some quick thoughts:
We hate/dislike/poke fun at the French because we always have, all the way back to the Middle Ages. Just because we branched off from the English a few hundred years ago doesn’t deny us our heritage of animosity towards the French 
Plus, in the context of American (North American, United States of American, whatever) history, we have the French and Indian War (England (including the American colonies) vs France), the American Revolution (France and Spain helping us fight the Brits, including a brief foray or two into Canada), the Quasi-War with France (US and UK fighting France at the same time, although not officially allied. Also, the French started it, and we cleaned their clocks), War of 1812 (largely between the US and UK, with the French helping us out with a minor diversionary front ;)).
Used to be we’d ally with the French or the Brits based on who it was more convenient to be friends with. I really doubt the French helped us in the 1780’s because of some French egalitarian love for American liberty and democracy, so much as because they were sore for their losses in the Seven Years War and wanted to stick it to the Brits. Indeed, when they GOT a democratic government of their own, one of the first things they seemed to do was to start harassing us and our efforts at commerce, and then demand a tribute payment before they’d let us talk to anyone in power about it. Then THAT government got tossed out, and the next guy (a Corsican of some importance) cut us that sweet deal on some nice property east of Texas.
But yeah, relations with France have always been somewhat tidal in nature. If you don’t like how we get along with them, wait 10 years and I’m sure we’ll have gotten over it. Most French people I’ve met in person I liked (with the exception of an old crone of a French lady who taught Spanish in Oklahoma. Had a voice which could curdle cheese. And she was completely incapable of carrying on a conversation in Spanish with my mother, who speaks it natively. The inability of this French woman to speak the language she was teaching was probably more a comment on Oklahoma’s education system than it was on her, I’ll grant.) In particular I have fond memories of a girl from Normandy I had another Spanish class with in college. She was cute, though notably and understandably mute on the topic of world politics (we were classmates at Texas A&M in 2003 or 2004, for context)
Oh, and another couple of random comments: Freedom Fries were, at best, a source of mild amusement and a source of general derision at best in the vast majority of the US at the time. France is NOT the only target of such name-change mockery, as any students of American involvement in the First World War should be familiar with (Liberty Cabbage, Liberty Dogs, and Liberty Pups, instead of Sauerkraut, Frankfurters, and Dachshunds). And Casablanca isn’t exactly indicative of American opinion of France after WWII, as the movie was released in 1942. Outstanding film. Hero is an American, of course.