The higher ups spend years trying to get rid of Gojo, calling his power a threat to the balance of jujutsu society. They fear him because he could end them in an instant, yet his mere presence keeps countless curses in check. They want him gone and need him alive at the same time
The fact that Gojo casually considered killing the higher-ups just to protect his students says a lot about him... for someone who treats almost everything like a joke, there are lines he genuinely refuses to let anyone cross.