Even if (and thats a big IF), all encrypted comms had perfectly safe back doors so the GCHQ and NSA-types could read all messages and criminals no longer existed (and pollution-eating unicorns frolicked through fields of grass outside most major cities), then the "bad guys" would just resort to innocent looking messages on random public discussion boards that were pre-arranged in a F2F meeting.
I think we could get a lot of fun if they decide to start banning hashtags - although the government might not when they realise that all the hashtags they'd like to use are spiked with ISIS murder porn.