I don't believe it, Luminance , any more than I (or you, I am sure) believe that all non-trans people harass trans ones and discriminate against them, but I am not everyone on this planet. There are many individuals who believe that what they see in the media is true. That is very obvious when you read what is posted by those who voted Trump into power and still cannot see how the reputation of the US is being destroyed as a result.
We get our view of the world by what we see of it. If those who speak for the trans community on the internet and appear in news items are mostly those who display hatred and aggression, then those who see and read it gain that picture of them. If the blogs and comments, and the videos of events, were more of peaceful trans people who detested the violence and the hatred of some of those who claim to represent them, and said so , it would begin to counteract the divisiveness that has been fostered by Stonewall, who treated the rise of transition as a war to be won, not as positive co-operation to be built up.
That goes against the instinct of mild personalities to stay below the parapet, but that was true of the struggles of feminists. It would have been easier for women to keep a low profile, but they persevered in going after legal, medical, literary and social advances for women. Today they would have been filling the internet with subtle persuasion - advertising, not war, is the key in a world of global communications.