Jewishness is matrilineal: the child of a Jewish mother is Jewish; the child of a gentile mother (regardless of the father's religion) is not. A gentile who undergoes Halachic conversion is also Jewish.
There's no such thing as a "half-Jew".
I don't know much about AIM, but I just glanced at their website. Their summation of the Israel-Palestine history was beyond ridiculous. Egypt, Jordan & Syria invaded Israel in '67?! Who knew? Certainly not the Israelis.
I think the letter in support of Gaza was ill-timed & tone-deaf, but this doxxing in response has no part of civilized discourse.