Here's a thought which actually could work–though I have no reason to believe it would ever be heard, much less acted on.
Many countries have an "opposition leader," the head of the party that is out of power. That person creates a nucleus of alternative leadership, often with a "shadow cabinet" whose members speak on specific issues and who are potential members of a future president's inner circle.
We have nothing like that in the US.
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@DavidSalo that's a great idea - steal the trick from the trickster.