Here is an article by Joel Biermann and Charles Arand titled “Why the Two Kinds of Righteousness?” This is a very helpful introduction for those who are interested in this discussion: Why the Two Kinds of Righteousness?
There are, I think, some different nuances regarding 2KR in various figures who promote the distinction, so some aspects of Arand and Biermann’s approach may not be exactly identical to my own, but this is the best summary essay I have found on the issue. It also touches on the Christian’s responsibility in the state.