Chomsky's politics have gotten him nearly blacklisted by mainstream media sources. They have not impacted his academic career in any meaningful way that I can detect. In fact, they have almost certainly amplified his fame and notoriety amongst academic circles, including in Linguistics, which has similar politics to most of the rest of academia i.e. it is extremely left wing.

as for the man's personality and interpersonal relationships, he is quite calm, even-tempered, and respectful. he is not known for ad hominem attacks or public meltdowns. quite the opposite. he's a bit dry and boring to be honest.