Your post is not true. Cruz’s father Rafael did not become a citizen of the United States until he naturalized in 2005. Cruz has admitted he is a U.S. Citizen. He has not admitted he is a natural born Citizen that Article 2 Section 1 call for to be president. He is not Constitutionally eligible.
Cruz mother is an American born in Delaware. Right Rafael Cruz became a citizen later but would bet that Cruz is eligible and any court will give him the green light.