The difference between "opinion" and "lie" is not difficult to understand. You have the right to have opinion different to my own and, to quote Voltaire, I'm going to defend that right with my own life. BUT if what you say is a LIE and not an opinion, you have only the right to shut up and feel ashamed while I have the civic duty to defend my children and society from your lies.
I never saw any video by Anita Sarkeesian, but even the clip you put in your video is not an opinion but a lie (videogames are not all about killing people and shooting). I hope that that lie was born from ignorance and not malice, but she deserve to be insulted just for the arrogance that she display in that single clip: she admit that she doesn't know the argument and, at the same time, she give a sarcastic and false remark about it.
I'm sorry Joe but there a HUGE difference between having the rights to say an opinion and arrogantly take a position about something you don't know nothing about. If you start giving opinion and making videos about quantum phisics, you deserve to be insulted by Stephen Hawking, I'm sorry. It's not a matter of "opinions", it's the classic problem of the web: everyone thinks is an expert of eveything and that their ideas deserve respect just because. I'm sorry, but it doesn't work that way, Joe.