Servers can have both IPv4 and IPv6 addresses, there's no need for everyone to just switch over at once.
I strongly suspect that the big providers will start rolling it out over the next couple of years, and that this will filter down to local users after that.
My main problem is that very few home routers support IPv6, so they'll need to be replaced. But this can happen over time, with people on IPv4 being behind NAT, and thus having less accessibility to soem applications, they can make their own choices about when to upgrade.