What happened to the French colonists in the US. ?

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 .