The reason a banking industry would continue to exist has to do with outsourcing risk analysis to a specialist whose reputation is at stake. There will still be lending on a bitcoin standard, since it enables consumption smoothing over a lifetime. Some people are going to offer a return on deposits and do the work of figuring out credit worthiness of potential borrowers.

To your actual question, I think the institution of coercive governance might disappear by 2140, or at least the industrial era nation states will.