Abstract: Picture a community torn over a proposed zoning law. Some are angry, others defensive, and misunderstandings abound. On social media, they broadcast insults at one another; every nuanced perspective is reduced to a viral soundbite. Yet, when they meet face-to-face and start speaking, something changes: residents begin listening more than speaking, and people begin testing ideas together. Misunderstandings fade, and trust begins to form. By the end of their discussion, they have not only softened their hostility, but discovered actionable plans that benefit everyone. This is the kind of meaningful discourse our society desperately needs. Yet our digital platforms -- designed primarily for maximizing engagement through provocative content -- have pulled us away from these core community endeavours. As a constructive path forward, we introduce the idea of conversation networks as a basis for civic communication infrastructure that combines interoperable digital apps with the thoughtful integration of AI guided by human agency.