Would you want to be an Untouchable?

This depends on which way you mean this term. If you mean the Untouchable caste in India, then no. That would mean being trapped in certain professions, like garbage collection and cleaning sewers. It would mean not being able to date or marry anyone except other Untouchables. It would mean being looked down upon by most other people and others going out of their way to make you feel like nothing.

If you mean it as another name for the Italian Mafia that was in the US in the early part of the 20th century, then whether someone would want to be involved in that would be up to the person. If someone were a foreign immigrant during the Great Depression, for instance, belonging to an influential organized crime family might be seen as a favorable alternative by some. The Mafia were behind corruption in the government, in workplaces, and in labor unions. The name Untouchable in the movies came from this corruption and being able, for a short period of American History, to be above the law. Thankfully, the Prohibition Amendment was repealed and legalizing Alcoholic Beverages took away much of their revenue, and tougher laws were created to deal with organized crime. Membership was not for everyone. Those who opposed "vice" activities or corruption would not want to be members. Plus, once you got in, they would not let you out of the gang alive. Also, like in any gang, there was rivalry, and your success within the organization might make you a mark and put a price on your head. So many people would not want to be a part of something like that.