One thing I want to give my opinion about is your idea of dividing the arguments into parts, for example using diagrams or tables. I think this is a good technique because seeing the argument can help you find errors or weak points more easily. You also mentioned the problem of using emotive words. I think sometimes, as in speeches or persuasive writing, a little emotion can be good if you also have solid facts. The hard part is making sure the emotions don't take over the logical part.