This is not an accurate account of her actions. The tweet which Greenwald embeds in his article as evidence against her is here https://twitter.com/saeen90_/status/971562600315215872. Watch the video underneath where she explains what her problem was with Professor Massad. In class, Massad referred to the Jenin massacre, a student raised her hand and pointed out the UN had dismissed the claims that the Battle of Jenin was a massacre, the professor kicked her out of class. A left-wing student from Israel asked him a question at a lecture. Massad noticed the student's accent then asked him if he was Israeli then asked him if he served in the IDF. He then demanded the student tell the group how many Palestinians he had killed. This is a little different from getting anyone who "didn't exist on the far-right on Israel/Palestine" fired as you put it. This documents the professor's views on Israel/Palestine[0]. I don't think you can characterise anything other then these views as being far right.
[0] https://en.wikipedia.org/wiki/Joseph_Massad#On_Israel_and_Zi...