It seems so.
Even Wagner never changed his name. But then, what would have been the point? He couldn't have changed his face.
And no doubt there were plenty of Spanish anti-Semites with "ez" surnames.
Ah, but therein seems to be the point: Ahmadinejad has had to change his name, even though he is not anti-Semitic, whereas Wagner and many a Spaniard were.
There have been Jews in Persia since before there were Jews in Spain, and long before there were Jews in Germany.
It is all very complicated...