Thanks for posting this! I would also love to be able to integrate obsidian-tasks and the kanban plugin.
I imagine a part of this could involve having a standardized format for dates, which I know people have posted about in the past. Right now there’s cardboard, kanban, tasks, and dataview (and projects, as it uses metadata). Perhaps the “task management” item on the obsidian roadmap would be involved.
Unfortunately I’m not sure how to help, because I am trying to do something similar. I would like to input my tasks in daily notes (if they are not associated with a specific project) or a project note (otherwise) and have them all viewable and modifiable with the kanban plugin.