At first I thought this is something new, because it's cool and I haven't heard of it, even though I'm coding in Clojure for about 3 years now. But this project is already 10 years old and hasn't received much attention for the last few years, which is a pity. I wish it was coming with Calva, my favorite Clojure tooling in VS Code.
You have this basically already. When you move forms in/out on the indentation levels, notice how the brackets/parenthesis automatically re-arrange themselves? That means it's working :) https://calva.io/parinfer/
But so what, is there no automatic balancing of parenthesis in Calva? That seems to diminish the value from the extension by a lot, I couldn't imagine coding Clojure and having to manually balance parenthesis.
Also, the main maintainer of Calva doesn’t use Parinfer, and so isn’t very motivated to add it either. But if someone were to contribute it, I imagine he’d be very receptive.