>1031 into rental properties and live lavishly literally anywhere else in the world.
That is an optimistic spin on a situation that can play out in several ways. What you describe is the best possible outcome. Another, pessimistic, way of phrasing that is that you're kicking out grandma because she is too poor to pay the taxes. Nevermind if it's the place where she raised a family, built a house, and had an entire life's worth of memories. She should be forced to move somewhere else to make room for Hollywood producer man and his mistress?
The economic incentive to build housing and lower prices already exists. I can buy a piece of land that has 1 house on it, bulldoze the house, and then build a multi-unit condo on it (easily quadrupling the number of people who can live on that piece of land). I will make a ton of money doing that because 3 extra families can live there and all pay me for the housing. If you let this take on a city-wide basis, prices will come down. However that incentive has been effectively killed because the city has something called "zoning". Which means the city mandates exactly what is allowed to be built on each parcel of land, in excruciating detail. If you don't believe me just google "FAVORITE-CITY zoning ordinance". The vast majority of housing in cities and towns in the US is zoned as "single family" which means that even if you own a piece of land and want to build more housing, the city will not allow you. To change this you have to go to the city zoning board and ask them to change the zoning for your land. Guess who the people on that zoning board are? People who own single family homes in the city. They do NOT want to see the character of their neighborhood change, they will deny your request in a heartbeat.
So we're prioritizing the "character" of our neighborhoods instead of the people who actually live in them? That seems completely backward.
Source: I have physically tried to build housing and been stopped by the city zoning board.