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It’s a double edged sword. If they allow this to happen, democracy crumbles under a new admin. If they do anything to deter authoritarians getting into power is technically anti-democratic too.
Either this admin undermines the belief in democracy by stopping an authoritarian administration to participate in elections or they allow the authoritarians to run and hope the electorate aren’t complete idiots (in a voting system rigged towards the authoritarians via the electoral college).
The interesting thing about the court is their power comes from our belief in their legitimacy. They don’t have any repercussions if the executive and legislature completely ignores their rulings.