Everyone should have basic protections, or "fundamental" rights. Those are things that exist as a matter of basic human decency. Nonbasic rights are more like privileges, and they can apply discriminately.
A relevant recent case: the 9th circuit allowed to stand a federal law that limits 2nd amendment rights for certain non citizens unlawfully present in the US:
"... The panel affirmed a conviction for possessing a firearm while being an alien unlawfully in the United States in violation of 18 U.S.C. § 922(g)(5)(A)."
