That is totally not how that word evolved.
For those interested, it started out as a phrase that reminded black youth to keep their eyes open about their surroundings to stay safe. “Stay woke” about whether you’ve entered a white neighborhood that could get you brutalized by cops. “Stay woke” about the dangers around you.
Well now it has been usurped by reactionaries to denigrate any person or position that involves change that frightens or annoys them.
You're talking to someone who unironically claims "republican is party of Lincoln, Democrats started the KKK" without acknowledging the entire century of history between now and then. Democrats usurped social responsibility and equality, republicans usurped racism, assholes usurped "woke", "Xir", clowns, and frogs.
But belief is a hell of a drug, especially when the person believes that their beliefs aren't beliefs because they didn't come from a sermons, a preacher, or a Bible.
*Which are absolutely not what Fox News and Hannity, and Breitbart, oh no (/s)