Thats why debate culture doesn't work. The truth is, the type on the right doesn't even care if they're wrong. You could give them a thousand things probing them wrong and they won't even read them.
You could convince a friend maybe but this requires a huge amount of trust and good faith on both sides.
However, ridicule does work because no one wants to join society's punching bag. An example of this would include foot binding in China where the upper classes sent their children off to foreign universities who mocked relentlessly for being from the foot binding country. I would recommend the book "the honor code: how moral revolutions happen" for more examples. It's a fantastic, easily accessible and short modern philosophy book by who I consider to be the greatest living philosopher (Kwame Anthony Appiah).