The Cold War was not a historical event that was directly tied to a commonly held stereotype.
African slavery was tied to a superiority complex within ancient Egypt, which is a commonly held stereotype against native Africans. Segregation in the USA was directly tied to the commonly held stereotype that black people were dirty, poorer, and inferior to whites. The Holocaust was directly tied to a commonly held stereotype of discrimination against anyone of Jewish decent, saying that Jews needed to die and were inferior, similar to the situation of slavery and segregation.
In all of this, the Cold War was promoted through economic and social propaganda rather than beliefs of inferiority and similarly-categorized stereotypes. For this reason, the Cold War was the least associated with stereotypes.