I'm not sure if everyone should go though the experiment per se, but certainly societies would benefit if everyone was taught about it, and human behaviour and moral in general.
Germany in the 1930s and 1940s after the Nazional Sozialists had grabbed control of the government (and the media) is a very good case study of what happens when sections of population are labelled "enemies", "unfit" and eventually even sub-human. There the perpetrators had been brainwashed with a sense of injustice and anger over post-WWI suffering and the domestic "unfits" (based on propaganda definitions) were made scapegoats.
Yet repression and murder in even larger scale took place after the Nazi "experiment" - in the gulags and laogai under Stalin's and Mao's communist party dictatorships.
Arguably the Chinese were the most brutal in the treatment of their enemies (something to do with the traditional art of torture and the domestic imperial history there?). Under the territories invaded by Mao's red army the foreign enemies (like Tibetans, Mongolians and Uighurs) were easy to identify as they didn't share any of the sinized Han-people's charasteristics - they were also commonly treated as sub-humans for that very reason (Tibetans as devout buddhists were targeted for particularly brutal punishment), but after the initial phase of Chinese military expansion and consolidation something unique happened: Mao's "Cultural Revolution".
While the title sounds deceptively docile, the reality was anything but. Here, in mid-60s, Mao decided that "old thinking" had to go. All of it. A horde of young, maoism-indoctrinated youth were given the authority / order to challenge anything that could somehow be perceived to contradict the infamous Mao's red book. For about a decade _everyone_ was an enemy unless he or she could prove the Red Guards - often by committing acts of brutality against "other enemies" - his or her blind loyalty to the "cause" of New China. One of the saddest representations of this was the widespread turning of children against their own parents who had until then loved and cared for them! The loyalty towards one's family had to be destroyed as it threatened the absolute power of the Party.
After the Tiananmen massacre in 1989 that Party held an emergency meeting in Beijing and after coming to the conclusion that communism as a political doctrine or economic model simply wasn't effective any longer, they decided - internally - to switch de facto doctrines to Confucianism (as nationalistic philosophy) and... national socialism (adapted to globalist markets), with capitalist/corporatist carrots for the Party's inner core (the leading families of "PRC" are now fabulously wealthy!). Old communist propaganda is still being played out as a justification for the Party's "legitimacy" though, and such propaganda is still key part of everyday control in poorer inland parts of China and especially in the occupied territories annexed through military force. Foreigners are still depicted as criminals who haven't paid for their sins over the "humiliation of China", although various "domestic movements" there (not forgetting the bloody war by communists themselves against the Republic of China) account for the vast majority of human cost and every other once wholly western-ruled nation (incl. the multi-cultural India) has gotten over their past "humiliation". What does needing artificial external enemies say about China's ruling dictatorship itself?
Blind obedience, often in order to benefit oneself or to save one's own life, and the accompanying willingness to inflict suffering on others... it tends to go together with ignorance (then redefining) of morality (right vs wrong, perceived or imaginary injustice), absolute propaganda to shape the population's value models and numbing violence and abuse.
I believe we have enough examples of abuse of authority by now. What we need is to actually make learning about them, and morality and philosophy in general, a truly intergral part of education so that most people would recognize the warning signs early enough to stop such abuses from taking place in the first place. I don't recommend we should go about re-enacting cases of injustice and abuse, but a more thorough engagement and debate than mere voluntary reading of a boring chapter in a study book is probably required. In the presence of totalitarian propaganda it will be hard, but elsewhere ignorance should be no excuse.