I had that issue with my first XBox one, but the issue was my XBox (OG one). Had to replace that to escape that issue.
I had an elite as well but had the Bumper problem. Replaced that and things were fine for about a year. Then the thing finally broke for good. You pushed the left stick in and the guy would shoot. Gave up on that and hacked a standard controller to a ghetto elite. I really only use the D Saucer pad and trigger stops.
Repaired and customized Elite (KIA)
http://i.imgur.com/5u8cQa3.jpg
Here is my current controller. It’s a standard controller with the D Saucer pad, the Elite style thumbsticks (magnetic and removable) and even hason / off trigger stops. I never learned to use the paddles so I didn’t need them.