Colorado has literally done exactly this before to keep a non-natural born citizen off the ballot, and none other than Judge Gorsuch decided that case. In his ruling he wrote that the state has a right to conduct their elections in a way to ensure their stability and in accordance with their laws. Thomas ruled the same way in Bish v Gore, and the SC ruled the same way while overturning key provisions in the Voting Rights Act.

I wonder what the difference is this time that would make conservatives do a full reverse and say states cannot control their own elections?