It would be interesting to develop a distributed anonymous voting system similar to Bitcoin. Double majority voting system with a minimum turnout. Every "citizen" could vote Yes / No or simply abstain. Votes could all be verified publicly on the votechain with no chance of tampering. Maybe the miners would be the ones who would introduce the new legislation to be voted on. In this manner one could do away with the need for representative politicians entirely. A 'true' democracy backed by crypto.
The hard part of course is getting recognized and the land somewhere to set it up.
A decentralized formation could be more advantageous, multiple eyes and ears with actionable power located across the globe. Able to vote for the cryptostate in local politics for best outcomes of your crypto association.
It could be a subset of society, where we receive the rights and protections of the state but also the benefits of being part of the cryptostate. As part of the cryptostate, you do voluntary duties for group benefits or just pay a percentage for consolidated social protection: legal aid, medical assistance, social support; Place your cryptocitizen request on the civichain and receive assitance from the rest of the community which you can update later to show other citizens that your request has been filled accordingly.
As time progresses and the community size increases more services can be provided for the citizenship.
This is definitely closer to the idea, though in the long run the hope would be to enroll as many people as possible, not exist as some sort of secret society. Putting cryptostate-friendly politicians in traditional states is not a good addition to the concept.