First of all, what would you report her for? I am having difficulty finding
an actual FAR violation here, though it appears that everyone, including
yourself, was flying some sort of non-standard pattern. Being rude is not a
crime (otherwise most of us here would have been locked up long ago).

Secondly, if your radio conversation was broadcast over the loudspeakers for
1000 people to hear, the FAA already heard it.

Third, if your friend is a CFI who has been working with this pilot, then
your friend is probably in the best position to recommend that this pilot
take a competency check.

Last of all, I have heard this kind of stuff at every fly-in I have gone to.