You lost me around the point where you started conflating free speech and lying, and went straight downhill from there. The only thing the right to free speech provides is non-interference from the government. Your speech, including lying, may have repercussions from almost all other quarters. Libel is a thing. Slander as well.
Additionally, experts in gender politics have issues defining what is feminine and masculine, and your attempt to attach your definition to an application is problematic at best, and at worst when delving where experts in the field tread lightly you present as a hack.
Anita's videos are not research pieces backed by thesis. They are opinion and editorial pieces. Nobody is required to give you a platform to criticize or critique. To demand equal time, to demand that she cover both sides when she is a journalist and not an academic researcher is an unenlightened position.
You make excellent points with respect to men as victims in situations of sexual and domestic violence, but they seem to be almost an addendum to the main thrust of the piece where you challenge Miss Sarkeesian to provide a response and action. In no way does she owe you a response to this poorly thought out ramble.