The Constitution is not the totality of law nor was it ever intended to be. It is the guide rails that establishes the scope that the rest of the legal system exists within.

How would framing immigration in comparison to the Bill of Rights even push the same buttons as the Second Amendment? The Constitution grants Congress the authority and requirement to protect the country and to set naturalization law, which is immigration. There is, as you said, no constitutional right to become an American citizen.

Piss off right-wingers with Due Process, because Constitutionally everyone on US soil or in US custody for any reason, and that means Everyone with a capital E, is covered under Due Process.