To me both Sony and Ashley Madison are part of a very different type of hack, that we are just starting to understand.
They leak massive amounts of personal information, and this personal information can and does ruin lives. This article outlines much of the emotional turmoil that Sony employees went through, and in Ashley Madison, there were suicides as a result:
http://money.cnn.com/2015/09/08/technology/ashley-madison-su...
You can rotate your credit card number, but rotating your real life is not possible.
I don't see a way out. Going anonymous might be possible for living on the internet, but you cannot be anonymous to your employer.