If your character or camera drifts without touching the controller, navigate to the Left Stick or Right Stick tab. Increase the Dead Zone percentage slightly (usually between 5% and 15%) until the center dot remains perfectly still when idle.

X360CE 4.10.0.0 Alpha closing on opening with joystick #1017

The Xbox 360 Controller Emulator () solves this problem. It translates DirectInput calls from your hardware into XInput commands that your games can easily understand.