I'd counter by asking which modern society does not have homeless citizens. Particularly, which countries that rank more highly than the US in the Quality of Life or Human Development Indices?
The other challenge I have is that homeless in America enjoy a quality of life patently superior to that present in nearly every class virtually everywhere else in the world. Sure, homeless in the US are not as well off as the middle class in Switzerland, but they're certainly better off than the median individual in India, Peru, Pakistan, Syria or Zambia (to name a few from what would be a long and saddening list). The resources consumed by, and available to, homeless citizens of the US make them look like citizens of Elysium in comparison to those nations.
To flesh out one example - the bottom 5% of Americans are about as wealthy as the top 5% of Indians.[2]