Cubanadian Cruz's mother was a US citizen. Cruz is NO QUESTION, a naturalized US citizen under statutory law. See Rogers v. Bellei.
Cruz faced about 20 challenges on this basis. Courts uniformly disregarded or misinterpreted the law. This is par for the course for courts.
Nobody who runs will be disqualified by the courts or by the Congress. The Fed political class is not accountable to the people, so why should they follow the law?