Something stunning when travelling to the US is the number of cities called some something Ville, Nashville, Jacksonville and all the small ville you’ll see when going at a random place on google maps, let alone a state called “vert mont” which can’t sounds more french.
So there is definitely evidence for a significant french influence in former Louisiana. However, the french-influence seems very diluted in modern US, especially when looking at the cliché regarding American pretending to be Irisish/Italian because of one ancestor from that country. Moreover, US isn’t really famous for their wine/bread/cheese
So i am curious to learn how these colonist merged with the anglo-saxon and what’s left of their heritage in modern US .
In some cases, they never went away. In New England - especially northern parts of Maine and New Hampshire, there are communities that are plurality Francophone, and have been Americans for generations. 
I think one thing that people often don’t understand is that American English is highly influenced by the French language - accounting for 30% of all words. Words like Lieutenant are pronounced differently in British and American because of the French influence. Or the word “herb” - Americans don’t pronounce the H just like the French.
As far as cultural things, of course the US is known for its wine. Napa Valley is one of the best wine regions in the world. Those wines consistently beat French and Italian wines in international competitions. Finger Lakes, as well. American cheeses like cheddar are very popular. There are entire states known for this, like Vermont and Wisconsin. I think in terms of bread, you see more influence from Italian and German breadbakers then French.
That said, French influence is just one of many patches on the rich tapestry that is America. It was impactful, but the influence was definitely overshadowed by groups like Irish, Italian, Polish, Chinese, and African Slaves - whose descendants have created our greatest modern cultural exports.