Sexism comes out in target choice, and the strength of which ones chases their prey, and the vehemence of attacks.
I do strongly believe that Cuddy was overly punished for being a woman, and being prominent in the field. Everyone loves when the "high and might" come "crashing down" -> the underdog stories and the desire for retribution are sought after more powerfully than (a) justified and (b) end worthiness of the goal.
I don't think anyone can honestly say that this has improved the field and made science better. It just means now that there is money and recognition to be made being attack dogs. That's hardly better.
As for Gelman, he wasn't portrayed in a great light, but I think it is fair. He's willing to encourage incivility and outright sexism and hostility as long as he doesnt have to talk to someone he disagrees with. That's the baseline definition of a coward there. And yes, I would discuss that with him in person and call him such a thing to his face.