What worries me about such a reality are the criminals who might kidnap, force others to give them Bitcoins. It will happen in such a scenario.
As long as there's still a law and order, that will not happen, in fact, I believe the crime will be lessen as our money can be trace in the blockchain.
If a kidnapper will demand for a ransom money, and if that is bitcoin, they will provide an address for bitcoin to be deposited and it's easy for the authorities to keep track of that money, and since everything is regulated, it will be hard for them to cash it out or sell it as that address could be mark as stolen funds or funds from criminal activities.