The best way would be to just jump right it.
Ideally even more so if you could get the players to never look at the 'harsh rules' and just let things happen in the game.
The huge parts of Dark Sun are survival, harsh conditions, isolation, brutality, savageness, and evil. And this is backed up by a lot of 2E rules for food, water, equipment, survival, and death. The idea is your a worker and you kill some guards with a bone jaw you craved to be sharp and run off into the blazing desert where your character dies without water. That does not really go over well with the more modern "super hero" type mindset.
Dark Sun is definitely designed to be a "Sword & Sandals"/Post-apocalyptic sort of game. TV shows like: Rome, Spartacus, Black Sails, American Primeval, The Last Kingdom and Vikings. Xena is a bit 'fun', but does have a slight darker side. Movies like any Mad Max, any Conan, and really the typical 70/80 'barbarian movie". Some westerns fit too: Gunsmoke and the Rifleman. The authentic grimness and poverty of the frontier , ruthless hard people scratching out a subsistence , homesteaders dirt farming and busting sod. Matt Dillon wandering around the graveyard , ruminatin' on the wastrels he's put in the ground and Luke McCain spitting fire from his Winchester......