How do you feel about having your real name shown on your online presence?

As some of you may know, I like computer games. And I’m very much excited for Starcraft 2 to come out later this month. Within Starcraft 2, there’s a feature called “Real ID”, which gives you more social/connectivity features with your online friends. But to use it, you have to let them know your email address, and they will be shown your real name next to your account name e.g. Killerface82 (John Smith). It has also just been announced here that they are now planning to have your full, real name displayed on all posts on their official forums.

Assuming that your name had to be real, and there was no way to use a fake one:
How would you feel about this, on pieces of the internet that are more relevant to your life? Certainly, most people who use facebook have their real names shown, and most email accounts show your real name.
But how would you feel about your full name being shown with all of your tweets? All of your messages on Fluther? All of your IMs? On whatever other message boards or forums you use?