We are having the same problem on our Iphone 4.. we see both sides of peoples conversation.
We can message in and tell them we are seeing their messages and they have told us, it is
happening to them also.
Now we have an Iphone 4s and it is not happening to that phone. Only the Iphone 4.
This has happened 3 separate occasions well into the night so we have to make sure the phone is
on vibrate or it will wake up our grandson at all hours. We know it is not their fault but , some text
messages are private and I am thinking, If it is happening to them, Is someone out there reasding ours.
It only started happening after the IOS 6 update.
We are with AT&T, and remedies to this or is Apple addressing ?