There are many facets to this backlash (if indeed there is one). At the most fundamental level nobody disputes that women have a right to the same kind of respect that men receive (including not being harassed), or that women have a right to the same opportunities as men do.
But the devil is in the details. For example, there are a lot of insane ideas thrown around as to how to fix the problem. There are people who argue accusations of harassment should not only be taken seriously (which everyone agrees with) but also be automatically taken as true regardless of their veracity and verifiability, and with the the social, personal and professional cost suffered by those accused being an irrelevant detail.
Second, is this is a Silicon Valley problem, or every-industry problem? How are women treated in the NY Times newsroom compared to Google compared to GM? This is always side-stepped or is treated in a sloppy manner. This sloppiness is evident in the original NY Times article which profiled personal experiences of a number of women in tech with no attempt to verify the claims or set it in a wider context. In the most memorable example, Dave McClure was outed by name in the article for asking one of the women out as she was applying for a position of at his company. Unprofessional? Yes. Creepy? Yes. But that crime relative to the public shaming in an international newspaper read by millions, isn't justified. The irony of that specific case is that there were more egregious examples of McClure's conduct that may actual warrant this public shaming, but that would require some actual journalism.