Some people need that "identity" thing I guess. So if you can change it whenever you like, this illusion is thoroughly broken of course.
Not my concern, just playing the hobby therapist here...
My explanation would be something like that:
In 3300 scientists have finally found what "A SOUL" actually is. It's nothing what we own, it's quite the other way around. Our soul "owns" us, we are one of many immanations of such a soul. While the soul is an immaterial consciousness it's not bound to time strings. From the POV of the soul all its various existences are at the same time, like a big lake where the soul can step from one personality to another when and wherever it likes or feel all at once. Mind the term "it" since a soul is the summary of a possibly huge group of personalities from all sexual preferences and existing in the past, the present and the future. Scientists have now found a method to gain control over this process so after an extended transitional phase the human race finally have found that "real" biological bodies are just an anachronism.
So how's that?

Would also explain, en passant so to say, why we can't die and death just being a small nuisance and mainly an affair of readjusting some frequencies.
For further reference read the SETH books from Jane Roberts (from where I derived this <cough> almost tinfoil free idea).