Ignore the holocaust part for a bit.
The left does not even think that they should debate the right because that is "giving them a platform."
One of the reasons why misinformation is so censored on social media is because it is a crime on the left to even acknowledge that other viewpoints exist. That's why they also scream "bothsidesism."
A couple of weeks ago, Ana Kasparian (yes of the Young Turks) actually had a live one-hour debate with Ben Shapiro, and social media started freaking out at her for "giving Ben a platform" until even Ana has to say that Ben's platform was bigger than hers.
I left in the top comment because it encapsulates their point of view: the left debating the right is pointless because they believe the right doesn't care about "the truth".
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