Think you have a bit of confused logic, Soviet. KH as well as other Iranian proxies (AAH) have conducted attacks on American bases that the ISF occupies. It’s true that the PMF is part of the ISF, that’s because most of the Shia Militia Groups that make up the PMF use fear and other tactics to get what they want politically in the country. That’s also why the ISF won’t act on the PMF. I would suggest you read with both eyes when researching their politics.
Also stating that “the rocket attacks weren’t meant to be lethal, but they were, why would America retaliate?!” Is ridiculous. That’s like if I did a drive by on your house, and only meant to commit property damage, but accidentally shot your poor mom in the process. They shouldn’t even be launching indirect fire attacks. Sure, they scapegoat us for bombing everything, but that’s the Iranian agenda. They blame us for Coronavirus too lmao. In truth, it was probably Israel who bombed them. America took no action until they killed a US contractor.
The PMF have a long history of running operations through fear, and have some backwards ass logic. It’s clear the Iraqi people don’t want them in their country, and who could blame them? During the October protests against government corruption and Iranian influence, the PMF kidnapped as assassinated many relatively peaceful protestors.
Then you have split factions from Shia Militia Groups. They created a “League of Revolution,” likely to take some of the heat off of the Iranian factions. KH makes very open threats, even on their own websites. They’re not just a US designated terrorist organization. The UAE and Japan has also designated them as one. Their operations are evil, quite frankly.