Athletic maintained their five-point lead over Cray Valley and defender Roman CharlesCook's stoppage-time goal looked to have won it.
But Millers captain Mohammed-Idris Oshilaja earned Steve McKimm's men a deserved point.
Away substitute Matthew Vigor had cancelled out stand-in Dover skipper Ruben Soares-Junior's goal, either side of a missed second-half penalty by Cray's 12-goal top scorer Freddie Parker.
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