You have it exactly backward. The postulation that Cruz is a US citizen is not supported by the facts. There is a Canadian birth certificate. There is no US birth certificate. The facts so far presented show that Ted Cruz is not a US citizen.
The child's parents may choose to apply for a U.S. passport for the child at the same time that they apply for a CRBA. Parents may also choose to apply only for a U.S. passport for the child. Like a CRBA, a full validity, unexpired U.S. passport is proof of U.S. citizenship.
Also, note that the CRBA is not the only way to have one's US citizenship acknowledged. One can also have a certificate of Citizenship issued if over 18 years old. This means that NOT having the CRBA or the passport when younger does not terminate one's claim to US citizenship at birth.
Certificate of Citizenship issued by U.S. Citizenship and Immigration Services (USCIS)A person born abroad who acquired U.S. citizenship at birth but who is over the age of 18 (and so not eligible for a CRBA) may wish to apply for a Certificate of Citizenship to document acquisition pursuant to 8 U.S.C. 1452. Visit USCIS.gov for further information.
If you keep on repeating your cherished fantasy that has been continually rejected by the courts, maybe it will magically come true! Is that how it works at the Happy Acres nursing home?