Something ive struggled to articulate over the years and recently its become more frustrating is how to take these people off their soap boxes by discrediting the very idea of opinions and their false equivalency.
I was shared a TED talk about this specific thing recently and can't recommend it enough.
Deborah Lipstadt TED talk - behind the lies of the holocaust denial
It is paramount to maintain the 1st amendment, but its important to remember, that the 1st amendment protects you from the government and not individuals - these people should just be dismissed and marginalized until they don't exist any longer, they should be laughed off and ridiculed - they should have the facts thrown in their face and then ignored while they spin their wheels. The facts should be so mainstream that if a person walked up to a child on a playground and suggested that they were better or worse because of their skin color or religion or sexuality or gender identification that that child should already have the skills necessary to dismiss that person. Critical thinking should be taught in schools so all individuals are capable of tearing down these conspiracy theorist hate mongers.
There should never be a footing for these people to gain an inch.