The only news organization I think I would trust to moderate anymore, would probably be The Hill's Rising team. One on the left, one on the right.
This was a good dialog IMO.
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CNN did an excellent job in the Trump/Biden debate. Of course CNN wanted Biden to lose that one so the Democrats would have an excuse to replace him so the moderator played it refreshingly straight with Trump.
There are people at Fox I would not trust to moderate a debate but there are some who I think would do a credible job.
Also Elon Musk and Tucker Carlson I believe were serious when they said they would moderate a debate if the candidates would agree. And I am quite sure they would likely do a good job with neither grandstanding, speechifying or unfair bias toward either candidate. That could be really interesting.