no- I am sure his dad is Jewish. At least that is my understanding.
An article that was posted here on FR shortly after the war started, like June or so, told an interesting story.
The person being interviewed was a Jewish rabbi that lived in Iraq, along with his congregation. They had pictures of him and some of his congregation.
He was saying that although they were Jews, they were not persecuted in Iraq. They lived amongst Muslims without any problem and they all knew this group was Jewish.
Anyway, he said they were leaving Iraq, but only because the congregation was mainly older Jews and he (rabbi) was unable to find a Jewish wife in Iraq.
They loved Iraq, but he wanted to marry.
Also one of the Iraqi bloggers wrote a month or so later that his community accepted Jewish neighbors easily.
These were small isolated communities of course. They would not have been accepted in much of Iraq, but in these areas at least they were okay.