The case is NRA v. City of Chicago, the challenge to the Chicago handgun ban. The core argument:
Cruikshank, Presser, and Miller [v. Texas] [late 1800s Supreme Court precedents -EV] rejected arguments [for applying the Second Amendment to the states -EV] that depended on the privileges and immunities clause of the fourteenth amendment. The Slaughter-House Cases, 83 U.S. (16 Wall.) 36 (1873), holds that the privileges and immunities clause does not apply the Bill of Rights, en bloc, to the states…. [P]laintiffs contend that we may use the Court