You are right about the confusing format. It resembles a speech dialogue, often less civil because intrruptions cannot be controlled.(posted 8913 days ago)One possibility is to require marked paragraphs and mark the answers by the same number. You can then read tone statement and then the answering statement. That may require some duplication if the interjecting argument is short. I think that is the best.
Another solution is to have someone organize the debate. That, however, takes effort and may cause distortions. Less preferred.