You are 100% correct. Hezbullah Shiites just got a leg up starting in 1979 (or 1983, depending on who you believe). The mantra of "it is ALL AQ" has worked pretty well at deflecting any criticism of the poor oppressed majority Shiites. This is why Mookie al-Sadr is still sucking air. The administration lacked the intestinal fortitude to kill the fat b@stard in the cemetery. Even after his own men fragged him.
it's a hateful bunch of snakes. Supposedly the Iraqi Shia , based in Najaf, Iraq, are more "orthodox, " and historically distinct from the Qom, Iran- based Shia of Ayatollah Khomeini and his successors; that's why they stuck with Iraq in the Iran-Iraq war rather than going over to the Iranian side.