Lydia comments in a scene that Link is like a cyborg because of his past injuries. Mel Gibson reportedly turned down the title role and also the role of Kyle Reese in The Terminator. James Cameron, the director of The Terminator, stated Mad Max 2 to be a huge influence on the Terminator (probably because it makes a bold statement about the world, alongside films like Blade Runner, Demolition Man, Escape From New York etc.).
The trivia items below may give away important plot points.
When Preacher (Michael Parks) is telling Link (Mel Gibson) that he is going to turn in Lydia (Erin Moriarty) for the reward on her missing poster, Lydia starts to protest, angering Preacher. He calls her a brat and says something ending with, "before you were an itch in your daddy's sack." This is almost word for word what Murtaugh (Danny Glover) says to Riggs (Mel Gibson), when Riggs gets nervous about his driving in Lethal Weapon (1987), saying, "I've been driving since you were an itch in your daddy's pants!".
Mel Gibson lives in a trailer that gets wasted by the bad guys, as in Lethal Weapon 2 (1989). Later on, he is hiding for a sniper behind a vehicle, discussing with his daughter that one of them should create a distraction so that the other can flee. This is reminiscent of the opening scene of Lethal Weapon 4 (1998).