It's actually tricky enough to setup an anonymous account on Facebook or Twitter. They essentially extort and harass you asking for a phone number, and if you don't provide it: no account for you. And for those crying 'Burner phone!'. Where I live you have to register your legal name and have it attached to the SIM card. And then there's the cellphone masts that record your phone's interactions and proximity, so it's a hard problem. Anonymity is hard.
As for encryption, does this mean we can't do online banking if it's outlawed?