Deliberately undermining privacy and security isn't going to end well.
Waste all this time and effort to punch holes in the privacy of the masses and give government an easily abusable pool of information, all on the off chance that some of the more inept/incidental criminals will incriminate themselves. Meanwhile, anyone with any sense, and anyone who is actually a threat, will continue to use tools that have not been compromised, while innocent tax payers get to see their personal info used for legal and extralegal harassment, or exposed in leaks.
...rightful liberty is unobstructed action according to our will within limits drawn around us by the equal rights of others. I do not add 'within the limits of the law,' because law is often but the tyrant's will, and always so when it violates the right of an individual. -- Thomas Jefferson