The term "each person's truth" doesn't apply to any and all questions in the universe, only to the reality of one's gender identity.
You can't seriously be arguing that society must either refuse to treat trans identity with respect or fall into chaos-that the only way to hold society together is to force trans people to live a lie.
No one needs to renounce their gender truth for freedom to survive-the very idea of that is far more dictatorial than anything you implied would come of being humane and decent and accepting it when trans people say who they are.
Also, unlike black people, the acceptance of transgender identity doesn't add to the oppression of anybody else.