Does the US Constitution need to be amended in that regard?

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All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the state wherein they reside. No state shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any state deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.

Remember why, specifically, the Bill of Rights was written...remember its purpose. It was written to limit the power of government over the individual.

There is no believing a liar, even when he speaks the truth.