A Twitter account is not a requirement to participate in society either. You don't even have to build your own Twitter, there are a few open-source clones that can be self-hosted.
Sadly, the best you can hope to do now is to turn everything off that you don't want (which will probably mean fighting the defaults for at least an hour when you get a new device and still hoping you didn't miss something important) and stick to the essentials.
It shouldn't be this way. We have failed on this one. But you really can't avoid some of these modern technologies entirely now, unless you're willing to become some sort of modern-day hermit and not participate in a lot of normal parts of society.
And many public services are offering APIs, so I can imagine their app store getting a pretty decent range of clients before long.