All problems requiring this type of collective action are social problems.
There are many vacant houses in the U.S., and many cheap houses -- pretending this is about shortage of physical housing is just foolish.
This is about shortage of desirable housing, and instead of stopping to ask what are the mechanisms that cause desirable housing (for you) to be so expensive, you just assume the problem is like a shortage of lumber or "space" or something equally irrelevant. If you build lots of affordable housing in Livermore, what would happen is that Livermore would stop being desirable for you, and you would end up wanting to live in some satellite area that was created outside of Livermore in which the exclusivity was maintained. Then good jobs would move there, because over the long term, the jobs follow the skilled workers and not the other way around. Then your utopian project in Livermore would find itself turned into a low income area where there is a shortage of good jobs, and most of the good jobs are elsewhere, in more exclusive areas, that are within commuting distance of the Lab. Then the Lab would find itself having trouble hiring enough people, and it would open satellite offices elsewhere. Then you would complain about a shortage of housing there, and want to rinse and repeat, not understanding why your intervention failed to solve the problem.
A good example is San Francisco. Most tech jobs were in Santa Clara county, not San Francisco. But a lot of tech workers enjoyed living in SF and did a long commute. Then tech companies realized they could hire more easily if they opened offices in San Francisco. Then companies began to be founded there, etc. All of a sudden, lots of tech jobs in SF. The jobs follow the skilled workers, and skilled workers have a lot of options in terms of picking where they want to live. They vote with their feet, and the jobs follow. How did the jobs end up in Santa Clara? Or Belmont. Through a similar process. Jobs chase high skilled people.
So you have to come to grips with why people that have a lot of choices choose to live in expensive, more exclusive areas. Why does the average high income person really not want to live in a neighborhood with a lot of poor people? Or, for that matter, even average income person? Why this hatred towards average people (something that can easily be found even on this site)? Why are they willing to commute elsewhere, and even take a pay cut, to be in a more exclusive area that is surrounded by other high income people? (And so signals to employers to open an office nearby). This is a social issue, not about lack of nails or space or a shortage of lumber.