Singapore is also a city state and has a land and housing policy that can't be easily replicated elsewhere. Tell Americans they will be shoved into government built high rises with racial quota and see what happens.
This is a misrepresentation of Singapore's policy. Nobody is being "shoved" anywhere, it is voluntary. And it is possible to replicate elsewhere. Taiwan reached 88% at one point; the Soviet Union was also known to have virtually eliminated homelessness, although in that case your description would have been accurate. Still, a home is better than no home. Government policy absolutely should be making a baseline of cheap housing available for everyone, even if it's not a 5 bedroom McMansion on an acre of land.