I've pretty much gone this route, though with a few caveats.
I've got a tablet, WiFi only. It's possible for that to be used for various messaging and email, where necessary (though email is also badly polluted, and a sufficient surveillance / profiling / security risk I've all but abandoned it as well). A 4GL hotspot extends the tablet onto wireless services when needed.
There's voice chat systems. I've used Google's, which is good, though I usually remain logged out of that, simply because I hugely dislike any distractions.
I'm leaning to the idea that Google, Skype, and Apple iChat simply bite the bullet and interconnect. At this point they could take down the existing POTS and Mobile service in another few years.
I've a fallback phone message service through an organisation I've been associated with for some time. Absolutely crucial messages can come through that, though I don't make it easy.
The result is an exceptionally high level of nondistraction.