Privacy is a fundamental right, so using cryptocurrency that happen to post your transactions publicly is highly questionable when assuming all rights are absolute.

However, your right to privacy ends where money laundering and fraud begin. These are real problems that get in the way of catching criminals, and not just simple fraudsters and other non-violent liars.

Every paper bill has a unique serial number that gets tracked by banks to trace stolen money. I don't know about any dedicated privacy companies that will take your money and exchange it for random bills of equal value, but if they exist I'd expect the police to have an interest in them, and for good reason. Sure, you could use "privacy" as a reason to visit them regularly but I doubt you'll convince anyone.