That isn't what they're doing (yet). Although the headline/summary made it sound like they were shutting out IPv4 users, this is not the case. They will be supporting both simultaneously.
What that means is that if a website advertises itself as simultaneously IPv4/IPv6 compliant, and someone's computer/browser thinks they are IPv6 compliant but their attempts to connect via IPv6 don't make it through (ISP? router? modem? who knows), their connection times out and the site is unreachable.
The solution in this case would be to identify the node that doesn't support IPv6 (might be difficult) or force the system on the user-end to use IPv4 (shouldn't be that hard). It certainly shouldn't be the end of the world, and it shouldn't really even affect too many people. And it will be a push to at least support IPv6 (not necessarily require it) at every step of the path so that users whose computers are capable of IPv6 connections can actually connect successfully over it.
Mommy, what happens to your files when you die?