Calling out bad behavior is not in and of itself bad behavior and the only people who get up in arms that it is are defensive dudes who want to minimize that the bad behavior exists. Next you’ll be complaining that someone of color spoke too often and too loudly about having the police called on them for essentially minding their own business in a public place.
As a white male you have a position of privilege. White men make up about 30% of the population and yet they hold about 80% of the positions of power in our society. Why don’t you use that inherent privilege to listen to the concerns and stories of other, less privileged demographics and try to understand where they are coming from instead of haranguing them for talking and trying to shut them up. “If you’re not Rebecca Solnit, then perhaps you should try to negotiate a middle ground before reaching for what amounts to a gender-exclusive nuclear weapon.” You have zero idea what level of mansplaining Jessica has been subjected to, so instead of policing her speech, why don’t you listen and learn something?
Saying “I don’t see gender” is a sexist thing to say, just like saying “I don’t see race” is a racist thing. It erases the experience of the other person. We don’t live in an equal society, and you requiring others to speak as if we do isn’t helping.