During the 1997 crisis in rent protections, someone coined the phrase "economic cleansing." That is what a lot of people would like.
Also, New York is an island but that has nothing to do with it. It is also made of granite, so massive foundations are not necessary in order to build skyscrapers. Mother Nature has already supplied the foundation. That is why NYC looks the way it does. Theoretically, there is unlimited housing here, as opposed to places where the height of buildings is regulated, like Fire Island and Aspen.
If you said that the people who live in the less desirable Manhattan neighborhoods would be so inconvenienced as to justify the cost that everyone else must pay for rent control, I would say you have a valid point. But complaining that east siders would have to move to the South Bronx is nonsense, because as soon as those respectable if somewhat less wealthy people made that move, those neighborhoods would become respectable if somewhat less wealthy, and cease to be the cesspools that they are now.
As for your mention of the endless supply of new housing in Manhattan, dont you imagine that might offset your alleged endless demand mentioned in other posts?
As I said earlier, history has already declared subsidized housing an abysmal economic failure. And arguing against it, is like arguing against the tide. It does no good, sometimes annoys others, and only makes you look like you don't know what your talking about.