That is correct about the Sec of State for each state being able to challenge. And I don’t think it can be settled in a regular court.
Cruz under Alan Dershowitz related that Cruz aced his class, was very intelligent and argued the side of being an originalist regarding the interpretation of the Constitution.
Now, based on his own personal and political convenience, Cruz, on the subject of Natural Born Citizenship, is quite liberally interpreting the Constitution to give himself a pass, on Natural Born Citizenship.
For this reason, Dershowitz called Cruz a hypocrite.
Here comes Lawrence Tribe, a liberal, but a renown constitutional scholar saying that the Supreme Court is divided between originalists like Scalia, and the several others who are take the liberal view that the C is a “living” document. How the SC would rule might be an open question and not easy, but this thing is not going away for Cruz. When his polls collapse, then it will go away. Otherwise, Hell is coming. The Senate has refused to give Cruz a congressional pass as they did for McCain.