In 2018, a small town (pop 16,000) I used to live in called Easthampton in Western Mass got into a pretty contentious debate to tear down existing elementary and middle schools and replace them with a +$100 mil consolidated school near the edge of downtown going into the suburbs. Here is an article: https://www.masslive.com/news/2018/05/easthampton_school_vote_failss.html50 Despite the word "fails" in the URL, the majority voted in favor of the new building.
The proposed site already has a poorly maintained middle school. The plan is to tear down the schools and build on top of the middle school. From looking at the debate on the town's Facebook group, where one of my personal acquaintances was vocal about her support, most supporters framed the issue in a black-and-white paradigm of "If you don't vote Yes, you are voting in favor of sacrificing our children's future."
Some people raised what I felt were legitimate concerns about property tax increases and fiscal responsibility (how did the existing schools get to this point?), which were quickly shot down with the black-and-white reasoning. I can't say what exactly took place since I was not involved with the project, but it seems a small group of people made a lot of the big decisions and then asked people to just vote yes or no. Unofficially, 2,829 voted in favor and 2,101 voted against, so it's not like there was overwhelming support. Based on this experience, I think it's very important to avoid falling into a black-and-white reasoning and get a lot of community input early on. Ask who are the people that want to "close all three high schools." Is it the community or just a few people?