Obviously the Retroarch core for Dolphin wont have Triforce support, but there is an archived copy of the last Dolphin branch that does on Github. Quite a few years back, the Dolphin emulator was working on supporting those games and had them booting up, however it was left behind and later removed from the stable branch of Dolphin.
Originally posted by CabbyMouse:The Mario Kart Arcade GP games run on the Triforce arcade system, which is based off of Gamecube hardware.