To further politicize it would simply remove any chance that neutral or persuadable third parties will not accept any legitimate outcome.
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I agree with your comments overall but who are these supposed neutral and persuadable third parties? The country is sharply polarized and there are not many people left in the middle who can be “converted” by facts anymore.
If we assume there are no persuadable people, we will surely find that there are none. If we assume there are some such people, in my experience we will find that they exist quietly, watching for information with which to make up their own minds.
Absent informed debate, they will often side with whichever faction is loudest. It takes convincing to get a person to buck the prevalent trends.