Anna Paikow works as a teacher in Los Angeles, according to the article. A simple Google cross reference will bring you to here, showing her to be associated with this high school, whose website confirms the truth of her claim to be a teacher in Los Angeles.
A simple review of the contents of the site confirm that there are quite a number of Jewish names among the alumni and faculty. "Predominately" cannot be proven.
But the high school is a public high school. Thus the teacher is a unionized public employee (I think). Given that, the story has to survive the very high probability that the event in the letter was explicitly fabricated for Leftist propoganda purposes (denigrating both Christianity and Judaism at the same time).
I don't think there's any way to prove she is lying. But a commonsense analysis of the factors involved make it improbable in the extreme for her story to be true in total: The school is familiar with Jewish people, having Jews among its staff and faculty. Thus the alleged student alleged to have said the alleged quote did not have her first impressions of Jews from this movie.
Having seen the movie, and also seen stuff like PLO propoganda, I can say that there is no way a person is going to come out of this movie hating Jews unless they have been pre-conditioned to do so. No way at all. It simply doesn't contain the message "All Jews are bad". Being a Jew myself, I think I'm a fair judge of that.
On the other hand, you have stuff like the PLO puts out, which is clearly and explicitly outright incitement to genocide, yet Arafat is protected by the same types of folks who are bitching about this movie.
So I'd say we have to conclude that there is a vanishingly small but not zero possibility the letter in the LA Times is true, and a tremendously large probability it is a simple socialist smear of the type we are very familiar with (e.g. "Bush was AWOL!" - never had any substance, but millions of people now believe it; now we have "Mel Gibson hates Jews"). FWIW
When I clicked on your link I noticed that Fairfax High School is just across the border from Beverly Hills. I'm not an expert on LA, but it's probably not inner city.
vanishingly small but not zero possibility the letter in the LA Times is true, and a tremendously large probability it is a simple socialist smear of the type we are very familiar with
This is a good summary. If this were a legal case, we would have to consider that small but greater than zero probability, but I know in my own mind whether I believe that a student came up to her and sincerely told her that he learned to hate Jews from watching the movie.