well, Iraqi in the sense of where they came from — however, the Qarmatians seem to have been more influenced by Zoroastrianism
Currently, Qarmartians are associated with Bahrayn, not Iraq. By Bahrayn, I mean iqlim al-Bahrayn, which included Kuwait, Qatar, Eastern Saudi Arabia, & especially what is currently Bahrayn. These places are not Qamartian anymore of course, but are still Shi’ah areas until now.