It seems to me that in an attempt to avoid one type of toxic environment, you've gone to another extreme. What you're really screening for is an environment where everyone is similar to yourself.
We also exclude programmers who insist on using nothing but GOTOs to structure their code, and sexism is way more annoying for me to work with than GOTO-filled code. You don't really think I should be inclusive of everyone: you just don't think sexism should be allowed to be a deal-breaker. Don't worry, if you want to work at a company that's inclusive of sexists that's way easier to find.
You're projecting and making a lot of assumptions about the person you are replying to.
I find it interesting that this dynamic has so much in common with the deeply religious.