There have been numerous efforts to define "woke" in the past week or two. A common problem with the ones I've seen is that they have been too elaborate, treating it as if it were a political ideology rather than general current of opinion. I would define it as an inclination to think that discrimination is the primary cause of group inequalities (except when a generally favored group is on the bad side, as with men being overrepresented in prison).
With this definition, we have a question that can be used to measure the growth of "wokeness." The General Social Survey asks: "On the average (negroes/blacks/African-Americans) have worse jobs, income, and housing than white people. Do you think these differences are mainly due to discrimination?"
Agreement was generally declining among both whites and blacks until about 2014. but there have been large increases in 2016, 2018, and 2021. White agreement is at its highest level ever, and black agreement is almost equal to its highest level. Of course, opinions are affected by experience and other evidence, but those haven't changed dramatically in the last ten years---that leaves what I called the "inclination." Ibram X. Kendi's remarks are interesting in this context: "The racist answer is 'no'—it presumes that racist discrimination no longer exists and that racial inequities are the result of something being wrong with Black people. The anti-racist answer is 'yes'—it presumes that nothing is wrong or right, inferior or superior, about any racial group, so the explanation for racial disparities must be discrimination." That is, he doesn't appeal to evidence, but to principle: "presumes" and "must be."
The GSS asks people to rate their ideology on a seven-point scale: I divided it into three groups, very and somewhat liberal; slightly liberal, moderate and slightly conservative; and somewhat and very conservative. Liberals and moderates have both moved substantially towards agreement, but there has been little change among conservatives. There's a good deal of sampling error in year-to-year changes in subgroups, but agreement rose among conservatives between 2014 and 2016, but then declined in 2018 and 2021.