You move with left stick, but i'm talking about the right anolog stick, which controls your looking around. Does that act normally?
Oops, my bad. Yes. I can look around slowly. When looking around corners, I tend to look while doing this sneak sideways move, just to peek my head around and assess the situation. There are times however, and this usually happens when in combat with two or more melee enemies, I will turn to look at the second guy, and my view wants to go past him. I've been playing so long that I auto-correct, by gently pushing the stick back against the violent view swing to whichever side. This doesn't happen often, just in this type of situation.
However, I have no problems aiming, with either a bow, or firing off a spell, and can still lead enemies. My view speed doesn't stay the same, as it sounds like it does for you, when you reach a high speed.