Hi,
This is not a controller issue.
1) I've used 2 different controllers from different batches (one was a day one console controller, one from my local store)
2) it's always a PERFECT 180 view
3) no other games are acting as if the controller is being pressed down
4) sometime when the game is feeling fancy instead of doing a 180 view it does a slow cinematic pan around the whole car.
5) Others have experienced it (http://www.youtube.com/watch?v=3gvQ8nzDq6Q)
5b) http://www.allaboutthegames.co.uk/feature_story.php?headline=Need-For-Speed--Rivals-hit-by-game-breaking-camera-bug&article_id=12707
6) My incident logged via live chat 10798711 (also your support rep asked what the problem was and then said nothing after I described the problem)
I know you wouldn't believe such an error would ever get past playtesting, but it did.
I can tell you it didn't happen in my first session, the only difference being it was the first time I played, and i didn't set up an origin id for that session.