Your factual observation that one of the causes that SJWs sometimes latch on to is the treatement of the mentally ill is not in dispute (by me anyway). However you've failed to provide a convincing argument that this is to be laid at the feet of the mentally ill, and not the self-promoting drama queens that claim to be fighting for social justice.
To be honest, I think SJW advocacy on the part of the mentally ill is pretty feckless and unhelpful. I don't think you have to worry about mentally ill people gaining power from it, as their methods are far too dysfunctional.
The Libreboot story contradicts this. Someone suffering from mental illness ("gender dysphoria") used SJW reasons to take over a project.
It's a common tactic of overzealous critics of SJWs to categorize their own assertions as "facts" when they are just opposite opinions.