I've reached a similar conclusion by different logic. Might not be the textbook definition, but Fascism is a fork of Marxism in which the Marxist economic classes are replaced with demographic classes based on anything other than economics, and the economics are removed. Instead of capitalists and workers, you get nobles and commoners, or Jews and Germans, or white and black, or straight and gay, or whatever. That's why it's "national socialism" rather than "economic socialism". "Woke" seems to be fascist by this understanding.