Yes, Bannon is not to blame for "wokeness" but some of his colleagues most certainly are. Him and his ilk create and emphasize "culture war" distractions to create cover and support for corporate-authoritarian policies that seem to be the bread and butter of both parties.
That isn't to say that both sides are the same, that elections don't have consequences, or that Bannon did not contribute his own style of mayhem. If he himself didn't exist we might just have had more of the same less-virulent "RINO" crap of the past few decades, with the reactionary senility still centered around talk radio rather than actually in the White House. But that's not really germane to my point apart from we might not have had an insurrection then.
(FWIW I really hate the term "woke" as a punching bag because I am well aware of its etymology. But the thrust of my point was calling out the people who see it as some touchstone for something that must be defeated, serving as justification for why they themselves must pick up the mantle of evil)