I came across this earlier. It's about a Finnish academic who developed a scale to measure how committed people were to social justice ideas. (He found that the more 'woke' you were, the more likely to be depressed, but leave that for one moment.) The scale for measuring wokeness included asking about attitudes towards race and transgender issues.
The study found that "critical social justice attitudes are not as widespread in Finland as might be inferred from public and media discussions. Overall, the findings suggested a cautious reception towards critical social justice among the general population. This observation was particularly pronounced among male participants, who showed considerably lower agreement with the statements compared to their female counterparts."
While three out of five women view "woke" ideas positively, only one out of seven men do.
I'm not completely surprised that people aren't as woke as you think (we all know about preference falsification) but I am a little surprised at the large difference between men and women.
https://www.psypost.org/study-woke-attitudes-linked-to-anxiety-depression-and-a-lack-of-happiness/