No.
It's a perfectly reasonable position to take. I want my transactions to be private to the world but it's reasonable that law enforcement has a method to investigate criminal behavior.
If law enforcement has a method to investigate your behavior, its not private. You want to have your cake and eat it too. Either you enjoy privacy (and so do criminals) or criminals do not (and neither do you).
That doesn't seem to reflect how the world has worked up until now.
There are plenty of things that are private except with a legal warrant. There's an entire legal history of wiretap laws and circumstances under which law enforcement can open mail I'd invite you to look at.