This will create a liberal catfight. Minorities will say it is racist, Bloomberg will say it fights crime. Ignore will be the reality that liberals want more and more control over people's lives. the more people reliant on government, the better. If more and more people are in government housing, the government has more control over people.
minorities will say fingerprinting will be racist because it will have disparate impact on minorities since of their high percentage of being in public housing. Yet they will ignore the other regulations/rules that also have disparate impact on minorities. Did you know some public housing has banned smoking? Whatever your views on that nasty habit, telling people what they can and cannot do in their homes is disturbing. But then the statist will say "but it is public housing, you are a tenant of the government, thus we can tell you what to do" and I would hope that would discourage a rational person from wanting the government as their landlord. More government control in your lives means less liberty.