Aladdin uses his first wish to infiltrate the aristocracy and assassinate the Vizer. He used his last wish to free the Genie from eternal servitude. The Sultan reveals the transparent falseness of the class system by arbitrarily rewriting law on the spot to suit is daughter.

Much like the Little Mermaid, and Beauty & the Beast, Aladdin reveals that the constructs dividing peoples are simply legacies of a corrupt system. You don't need magic to overcome them, merely the political will to rebel.