Final answer:
Egalitarianism is the least likely motivation for engaging in hate crimes.
Step-by-step explanation:
The least likely motivation for engaging in a hate crime is egalitarianism. Egalitarianism promotes equality and fairness, and hate crimes involve acts of prejudice, discrimination, and violence against specific groups. Egalitarianism stands in direct opposition to these actions, as it emphasizes treating all individuals as equals and respecting diversity.