When Friends for Liberty held its first public event, Mrs. Stout listened as Richard Mack, a former Arizona sheriff, brought 1,400 people to their feet with a speech about confronting a despotic federal government. Mrs. Stout said she felt as if she had been handed a road map to rebellion. Members of her family, she said, think she has disappeared down a rabbit hole of conspiracy theories. But Mrs. Stout said she has never felt so engaged.