The Duke is Cyrus.Escape From New York is an alternate reality if he had never been assassinated, and his plan to unite the gangs of New York had succeeded.
The Duke is Masai, Cyrus' second-in-command.Escape From New York is what happens after Masai takes over the Gramercy Riffs and fulfills Cyrus' dream of uniting all the gangs in the city.
The remake will have Snake as a woman, played by Michelle RodriguezOkay, this is more wishful thinking, but anyone who's seen Machete knows what I'm talking about.
Snake Plissken is Ajax from The WarriorsAfter he was arrested, they gave him a choice: the army, or jail. He chose the army, participated in Special Ops, flew the gulffire over Leningrad, ended up becoming a criminal again...you get the idea.
Snake Plissken is Swan from The WarriorsHe and Mercy leave New York, but eventually part ways. As above, he joins the army and the rest is history.
Escape From New York is set in the Fallout universeSnake's oversized watch is an early Pipboy prototype.
Escape From New York is set in the Judge Dredd universeThe USPF is a precursor to the judges. Their uniforms with riot helmets even look very similar to the Judges' uniforms in the Origins flashbacks. New York is part of the undercity in the Dredd verse, so it's possible that the city was just built over with the prisoners still there (it's not as if they gave a shit about them to begin with) to create the foundations for Mega City One and the prisoners' descendants later devolved into Troggies, the undercity dwellers seen in some stories.
Why everyone thought Snake was deadIt's a coverup for him trying to rob the Federal Reserve. Instead of telling the public that a decorated war hero turned traitor, they said he was KIA.
The explosive pellets that were going to blow open Snake's cartoid arteries?Lie. They didn't need to be real: after 24 hours neither Snake nor the President mattered. Snake only needed to believe they were real so that he was motivated.