From what I know (I'm French), the average Frenchman is not anti-American. The average Frenchman might not speak English, and in big cities might not react warmly to foreigners asking for directions (but it is for everyone, and even not only foreigners). In fact, there in definitely a lot of American culture in France, be it on the radio (many songs are in English), the movies, ...
When French show some anti-Americanism, it's when they confuse the actions and opinions of the administration and media with the people. The Iraq war was such an example: everyone I knew in France thought that every American was completely for the war, and asked us if, as French in the US, we were not having too much problem (think Freedom fries

What really happened, I think, was that the French political class and media found out that by being very much against the war, they could show a stronger attitude, especially toward the people.
Even though I am against this war, I despise this attitude by Chirac. But the bottom line to remember is that not every French is like Chirac, and that not every American is like Bush.