There's an official chicken exit before the stairs to seating, or you could go up to the seating area and there's an exit there, too.
No climbing over seats needed.
I found it to be a horribly rough ride, mainly side to side. It killed my ribs.
Also, really boring. Re-watching the movie where you see the inside of Gringott's (movie 7? 8?) the other week made me sad all over again for what COULD have been with the Gringott's ride. Oh REAL coaster, how I wish you existed...