But yes, eventually the Caliphate was invading Europe using cannons to reduce formerly state of the art castles 1000 years later.
The tribes I was talking about were Parthians [1] and Sassanids [2]. These are long before Islam and Muslim invasion of Iran and they were once part of Achaemenid empire.
I don’t know what you exactly mean by power structure but the form of government (i.e. Central government and Satraps) were adopted by and outlived the Macedonians.
You can get more information here (or simply Wikipedia):
1. https://www.worldhistory.org/Parthia_(Empire)/
2. https://www.worldhistory.org/Sasanian_Empire/
edit: fix typo