Only if it happens and stays in the privacy of your own home. The second it leaves your home, in this case you send it over the internet unto public lines of communication, you lose that. That's what the courts have backed up time and time again.
Incorrect, encrypted communications even out in the public lines of communication are NOT subject to free-for-all examination, it is wholly illegal for any entity to decrypt encrypted data of any type without a warrant.
By your logic cell phone and telephone conversations are subject to warrantless search and seizure, evidence illegally collected without a warrant is constantly thrown out by the courts.
One of the main problems I have with this is that it is my data, and it is being copied and viewed by an entity that I did not give permission to do so, while nothing I do online is Illegal to the best of my knowledge, I cannot be 100% sure, no one can because there are so many laws on the books in the US where I've read that even the average law abiding citizen breaks laws at least 3-4 times a day without knowing it.
Another problem I have is that its another series of databases, that I did not choose to store my data on, accessed by people that I do not know, I have no idea how well they are securing my data, or even if they are at all. With the number of attacks hourly on government computers, how long is it before the bad guys have everything the government collected too? These are legitimate security concerns when I decide to give my information to someone, they are even MORE relevant when my information is being TAKEN, even with the best of intentions (which they are not)