“But then in the next paragraph he writes: ‘Written by male rabbis nearly 2,000 years ago, these words evoke for me the sexism too prevalent in the Orthodox world and beyond… Do I want any part of that sexism? No.'”
First of all, he is not saying that the rabbis that wrote the brocho were sexist but that reading it today it evokes in his mind the sexism that he seas in the Orthodox community today. In other words what bothers him is how the words would be understood today, not their actual original meaning.
Second, even under your reading, he is essentially saying that although he wished the brocho wasn’t sexist, he will say it even though he doesn’t like it. That’s being mevatel your daas to halacha, a good thing.
At the very least this gets us to Chevron step two.