the western jewish left part of the society [...] must now deal with its own racism
It sounds as though you're just trying to conflate everything you disagree with into a single, amorphous whole. What do you mean by woke western Jewish left?
In my experience, in my country, when "the left" is accused of racism, it is used as a synonym for antisemitism, and the accusers are invariably Zionists or Zionist sympathisers, who take issue with the fact that the left try to highlight the plight of Palestinians.
If Judaism is matrilineal rather than a group to which anyone can belong, and if there is such a thing as secular Jews, and a tenet of Judaism is that they are the special, chosen people... then I would certainly agree that Judaism is inherently racist.
Just don't see how it fits with "the left".
I won't get into the word "woke", which is misrepresented and (intentionally) misunderstood just as often as the word "snowflake", which is really just a term to describe those on the right who start crying whenever they see people being treated fairly and without prejudice, and are scared that they will lose their unearned "special" status and no longer be the chosen ones.
