We have over 40,000 Persians in the DC suburbs, and about 25,000 Afghans. There are innumerable Pakistanis (all kinds of people there), etc.
We have an exceedingly large and diverse collection of people from the Indian Ocean litoral.
You were aware weren't you that most families in that part of the world are fully conscious of their "roots", and when you marry first cousins over the centuries, those "roots" are pretty much on the button with wherever the family began.
But, whatever the case, the Vahdats do not look like the Pahlevis.
The "roots" of Persians are indo-european Aryans. Iraqis are semitic Arabs from Arabia. You have a difficult time telling the difference that is your opinion but then there is an issue.