Is there much concern in Estonia about the potential privacy leaks? We also now have digital ID cards here in Portugal, but its use is for now fairly limited - you can use them to log in to some governmental sites (like the IRS), but no banks or other sites have adopted them.
I read on Wikipedia that some of your newspapers have started requiring it to comment on their articles, and I'd be wary of such developments, since they're so easy to justify (even to oneself) and to accept (since it makes authentication even easier than remembering password).
How do you deal with the fact that most sites would like to have your unique, cross-site identifiable key fingerprint?