Yeah goodluck with that, proving someone has a particular private key. Of course this is all possible but would require the banning of cryptography, and that would take a disciplined dictatorship to pull that off.
The cryptography cat is out of the bag, you can't just ban it(sure you can try, but like I said, good luck enforcing it).
It depends on critical mass. If only 2 people are doing it the risk of being the one in handcuffs is a lot larger than when you are 1 of 100 million people doing it.