When Bart asks why a vision of his own future has an unrelated reference to Abraham Lincoln's gold, the Indian Casino Owner says, "I guess the spirits thought the main vision was a little thin", a barb directed at sitcom writers who pepper thin plots with side plots.
This episode aired exactly five years after Season 6's "Lisa's Wedding", which also depicted the Simpsons' universe in the future. An interesting point were the endings of both episodes; whereas the fortune teller told Lisa her future could not be changed, the Indian mystic tells Bart to try and change his future for the better. However, it should be noted that Lisa's fortune teller is implied to be a phony, meaning her foretelling of her future may be partially or completely inaccurate.
In 2015, news media cited the episode as a foreshadowing of Trump's future run for president. Dan Greaney told The Hollywood Reporter in a 2016 interview that the thought of a Trump presidency at the time "just seemed like the logical last stop before hitting bottom. It was pitched because it was consistent with the vision of America going insane." Donald Trump went on to win the 2016 election. In the Season 28 episode Havana Wild Weekend, Bart writes "Being right sucks" on the chalkboard, a reference of Donald Trump winning the 2016 United States presidential election, predicted by this episode.
The episode also indicated that Ted Kennedy would run for president as well, but the Chappaquiddick incident permanently destroyed Ted Kennedy's chances at running for the presidency. Additionally, he died in 2009.
The mosquitoes took the park ranger's class ring from his right hand, but it was previously shown on his left (though kudos to the animators for actually putting the class ring on the park ranger's hand before it became necessary for the joke).
When Bart plugged in the amp you can see a white (yellow) Carl sitting next to Lenny.
President Lisa could've just ordered her Secret Service agents to keep her away from Bart, especially during her address to the nation.
When Bart throws the Future Duff Beer can on the floor, it turns into a normal Duff Beer can. The other cans are also labeled just "Duff Beer."
Ned Flanders says that ten years after you get laser eye surgery your eyes fall out. However, two episodes later in Last Tap Dance in Springfield, Homer had laser eye surgery, and as shown here 30 years in the future (as well as in newer episodes in the series since 2010), his eyes did not fall out (though they did crust over due to Homer neglecting to use eyedrops afterward).