Two things here.

One, really? Could you name some of these many organisations? I can't think of a single "anti-woke" organisation that's supportive of Palestine, never mind passionately so. Nor can I think of "plenty" (or any) "woke" organisations that are pro-Israel.

And two, even if these "anti-woke" organisations are pro-Palestine, I'm willing to bet an awful lot of money they're not pro-Hamas terrorists. Only "woke" organisations seem to have made that particular leap. There weren’t any good ol’ boys celebrating the deaths of innocent Israelis in the streets.

Supporting Palestine is not the same thing as supporting and/or cheering for Hamas terrorism. This is the conflation that I think is screwing a lot of people up on this issue.