Chomsky is neither a Zionist nor anti-BDS:

‘I am opposed to any appearance in Israel that is used for nationalistic or other propaganda purposes to cover up its occupation and denial of Palestinian human rights. I’ve been involved in activities to hold Israel accountable for its international law violations since before the BDS movement took shape. While I have some tactical differences with the BDS movement, I strongly support the actions and continue to participate in them.’

https://bdsmovement.net/news/chomsky-clarifies-position-cultural-boycott-israel