Fortunately we have the technology to tear down crappy post-war single family homes and replace them with multi-unit buildings.
If you're wanting that much space between neighbors in a high populations spot, that should be like $1M/y in property taxes
why? because you want to be a dictator and force people to live how you want / like to live?
No one would be forcing people to live a certain way, just forcing them to either pay for the privilege of living in an area that was granted public funding for improved infrastructure, or live somewhere else that received less public investment.
As a thought experiment, I find it easiest to understand the arguments for the Land Value Tax if you imagine a local government building a new subway line. Obviously, the existing homes around the new stops would have their property values increased. After all, many commute times were just cut in half! The local government is interested in more people living near those lines, more people == more tax revenue after all. If the local government had a Land Value Tax implemented, the infrastructure improvements they made to the area would automatically be included in the calculation for the taxes owed by the existing homeowners near the new subway stops. $1M/yr may sound insane, and it would be for a single-family home, but because of the new subway line, local developers are lining up to purchase the homes around that line in order to build new higher-density homes. The existing homeowners can either choose to pay the high tax and enjoy their short commute paid for by other taxpayers, or sell at a nice profit to developers. New higher-density homes get built, more taxpayers move in, the city can now build more infrastructure to improve the city!
Have at it, if you can afford the luxury; just don't expect the rest of us to subsidize your lifestyle.