@Expeditioner: The Breadcrumbs plugin has big potential for argument visualization. In particular, I noticed that the “Breadcrumbs Visualization” panel has a menu with different visualization types, one of which is “Sunburst”, which is the type of circular visualization that Kialo uses on the front page of each debate topic. The sunburst visualization does not (yet) work in my installation of Breadcrumbs, but if you can get it to work, then the combination of the Breadcrumbs sidebar matrix and sunburst visualization basically gives you a personal Kialo. You just need to supply the argument model via note tags and typed links and edit the Breadcrumbs settings to match.
@Stardacus-Captain: If you are interested in producing a Kialo-style color-coded sunburst visualization, you could experiment with color-coding links using the Supercharged Links plugin, and if that does not work together with the sunburst visualization in Breadcrumbs, you might contact the developer of Breadcrumbs and submit a feature request for a “stylable” sunburst visualization?
Kialo seems to have a simple argument model consisting of a single thesis/position supported or opposed (iteratively) by pros and cons, but one could add other types of nodes/notes to the model. For example, another simple argument model called issue-based information system (IBIS) or issue mapping, adds a type of node called issue/question, and allows issues, positions, pros, and cons to be networked according to simple rules. Another potentially useful type of node is evidence, which can be used to separate the pros and cons from their supporting evidence. IBIS was discussed in a previous topic that may provide inspiration: Tips for making an issue-based information system.
One of the screenshots posted above by @Expeditioner mentions the five whys method, which is easy implement in IBIS notation, where the five whys would just be a chain of nodes: question → answer → question → answer → (etc.).