New data from Pew shows large majorities of Americans are in favor of more housing:

The findings from one of the largest surveys done on these issues shows significant but varying support for 10 policy initiatives to encourage more housing. At the high end, nearly 9 in 10 (86%) say they would back efforts to expedite permitting processes, while at the lower end, about half (49%) support the concept of allowing smaller lots, and homes to be built closer together…
Support for most of the housing policies transcended the usual fault lines of political party, region, race, income, and gender. The eight most popular proposals received clear majority support from Republicans, Democrats, and independents. In addition, 9 of the 10 tested measures received majority support from both renters and homeowners. All of these policies have either already been shown to work in improving housing affordability in American cities and towns or have recently been enacted by state or city policymakers hoping to do so.
Some approaches that stood out as especially popular—earning support from more than 70% of respondents—are similar to state laws that have passed in recent years (although the survey questions themselves were not modeled on any particular laws). For example, in 2023, California, Montana, Texas, and Washington took steps to simplify permitting for new housing. In recent years, California, Massachusetts, Montana, and Utah have passed laws to enable more housing near commerce or transit. And Maine, Montana, Oregon, Utah, and Vermont, among others, have enacted legislation to allow houses to have an accessory apartment or dwelling unit, as have many cities…
Respondents also broadly supported the reasons behind efforts to create more housing, with 65% to 82% seeing each reason as excellent or good. (See Figures 3 and 4.) However, in some cases, Republicans and Democrats prioritized different reasons. For example, somewhat more Republicans (68%) than Democrats (62%) identified freedom for property owners as an excellent or good reason, while more Democrats (81%) than Republicans (49%) chose reducing racial segregation as an excellent or good reason. But large majorities of Democrats, Republicans, and independents see improving housing affordability and allowing more people to live near their preferred jobs and schools as excellent or good reasons to change housing rules to allow more homes to be built in cities and suburbs. Successful state-level efforts to allow more housing have consistently received bipartisan support, and the survey results indicate that people with different political views can come together to support policies to end the housing shortage and affordability crisis for different reasons.
Americans like the idea of owning housing. Add this to the current state of housing where both owning and renting is expensive and Americans broadly like more housing.
Here is my question: how many want this new housing near them? Even if Americans like more housing in the abstract, they may display much more resistance when this becomes a local issue. This is part of the reason housing is such a difficult issue to address in the United States: it is often a local issue where local governments and residents who want to control their surroundings. Housing is a good thing but people often move to a neighborhood and community and want to limit who else can live there.
Thus, the expression of this majority for housing is difficult to put into practice. Even state laws are often fraught as it can run against local desires. Take the efforts in Illinois to promote affordable housing at the state level: the initial legislation had limited enforcement and more would need to be done for state-level policy to provide more housing.
As noted above, one of the routes forward that could gather more local support involves policies that provide more opportunities for current property owners. Adding ADUs, for example, provides a choice for current property owners to generate more income or provide housing for family. Other policies might be viewed as funneling money to outside developers or providing housing for people who would not be as welcome in the community. If policies can add housing units and enrich/protect homeowners, they might find more support.