People in this region are mixed in general. You said that my tribe came from Arabs, but ironically I found that from my mother's side of the family most of the names are Irani. My mother and her sisters total to 5 and my mother is the only one with an Arabic name, although I might be wrong about my aunt's names being Irani. I won't share my mother's name, but my khala's names are Shanaz, Shamshad, Shehdan, Shahbana. Father's side all names were Arabic. Except for my father who was the oldest son. He was named Parvez, but once my great grandfather found out he was pissed and had my father's name changed to one of the 99 attributes of Allah swt. So basically an Islamic Arabic name, which set the precedence for the rest of his brothers and sisters to have Arabic names. Shit, even I have a Shia name, but I am what the Iranis like to call a 'wahabi'.
Also there were and are plenty of Irani people that lived/live in Pakistan from modern times. About 8 years ago I met a Persian(I say Persian because she didn't really seem religious by her dressing) lady at a grocery store in the US. I worked at the grocery store part time and she could speak Urdu. She was in her mid-40's. She liked talking to me and would come by just to have a chat. She liked talking to me but apparently hated Pakistanis which I found weird. Later on, I found out from some other Iranis that she used to live in Islamabad, and got played by some Pakistani Shia into sex and promises of marriage for a few years, before realizing she had been tricked.
Can't blame her, but then that isn't the fault of Pakistanis. Guys like that exist everywhere.