He's not punching down or hiding behind an ethnic identity, he's mocking the idea of someone being upset over a parody/mockery/comedy.
It was an awful display which has not aged well and will look even worse over time.
Like the time they portrayed some random (Christian) Palestinian as a leader of a Islamist terrorist brigade which supposedly had a huge negative impact on his life.
Just this incident alone shows that Sacha Baron Cohen is a horrible and a despicable person.
I really don't mean to be insulting to US people here, but I really think this would be a huge difference in the populations between the US and other countries where the film was popular.