The Madison capital building actually hosts homeless people in the basement year round. Google around and you’ll find news reports from Milwaukee with photos.
I Googled around. From what I found, everyone is kicked out at 6pm.
Use of Capitol building as homeless shelter raises concerns
In recent years, the marble landmark has become a shelter of sorts from 8 a.m. to 6 p.m. because it's a warm, dry place for the homeless to rest and socialize. Activity is the greatest in the winter months, when more people find respite there.