As an example I think people from the American political left to somewhere(?) in the middle see it as what it has been introduced as, that being looking past the status quo and instead looking at your own values, i.e. the morality of homelessness and not having a disdain for them but empathy for them instead.
and then on the other side it feels like the people on the American political right see it as what this website describes it as “ A self-righteously moralistic person who behaves as if superior to others.”
I think the divide has originated from taking unlikeable behaviour and labeling that as ‘woke’ (in bad faith of course) and some people have just bonded to that definition so much that they see it as that.
At least that’s what I’ve noticed online over the past few (bonkers) years
Many political groups do this: they identify some aspect of the opposition, preferably one that is easy to ridicule, and then repeat those accusations ad-nauseum. The complaints about, say, LatinX have far surpassed the number of actual proponents of it, which were a small number of people of the left. However, it still brought up again and again because it forms a useful image of what people are fighting against.
The trouble with this is that a groups idea of the “enemy” typically outlasts and often surpasses the actual enemy that idea is based off of. People on the right will write endless articles and videos about wokeness not because there actually exists a problem with wokeness but to try to gain political and social status with their political group.
There are left-wing critics of "Woke", see for example the African-American Marxist Adolph L Reed Jr – https://newrepublic.com/article/160305/beyond-great-awokenin...
If an unapologetic Marxist is attacking "Woke", that really disproves the contention that it is purely some right-wing bogeyman
Or, consider that the Trotskyist International Committee of the Fourth International published a review of the sitcom Abbott Elementary, which includes the line "In fact, in its treatment of Jacob’s wokeness, Abbott Elementary refreshingly mocks the suffocating trend of racialism in American culture" – https://www.wsws.org/en/articles/2022/03/01/abbo-m01.html
Similarly, read their review of John McWhorter's Woke Racism – https://www.wsws.org/en/articles/2023/06/14/ihjm-j14.html – in which they largely express agreement with his criticisms of the progressive "woke" ideology, but simultaneously condemn him for making those criticisms from a pro-capitalist instead of anti-capitalist perspective
And see the socialist publication Jacobin's approving review of the philosopher Susan Neiman's book Left Is Not Woke, which attacks "wokeness" from an explicitly left-wing perspective: https://jacobin.com/2024/07/wokeness-left-ideology-neiman-re...