I'll list the mapping you should use to mimic the XBOX 360 version. As the game doesn't recognize the 360 buttons names, I'll also put in parenthesis the name of the button displayed in-game.

Forward : Left Analog Stick Up (Axis LY-)
Backward : Left Analog Stick Down (Axis LY+)
Strafe Left : Left Analog Stick Left (Axis LX-)
Strafe Right : Left Analog Stick Down (Axis LX+)
Walk : Leave it empty, the character walk or sprint depending of how much you push the left analog stick when moving.
Jump : A Button (Btn 1)
Crouch/Roll/Gallop : LB (Btn 5)
Lean Left : D-Pad Left (PoV X-)
Lean Right : D-Pad Right (PoV X+)
Fire : RT (Axis 3-)
Melee : X Button (Btn 3)
Reload : LS Button (Btn 9)
Quick draw : RB (Btn 6)
Zoom : RS Button (Btn 10)
Switch Weapon : B Button (Btn 2)
Holster : D-Pad Down (PoV Y+)
Throw weapon : LT (Axis 3+)
Action/Grab : Y Button (Btn 4)
Health Up : D-Pad Up (PoV Y-)
Camera Up : Right Analog Stick Up (Axis 5-)
Camera Down : Right Analog Stick Down (Axis 5+)
Camera Left : Right Analog Stick Left (Axis 4-)
Camera Right : Right Analog Stick Right (Axis 4+)
Pause : Start Button (Btn 8)

Note : If you want the names in parenthesis to appear in-game, you should map your controller in the "Primary" tab. Mapping it in the secondary tab is possible but the game only display the inputs of the "Primary" tab in the texts in-game.

Once you're done with the configuration, the game will now use the same controller layout used on the 360 versions (and also the other versions, PS2 and Gamecube versions use more or less the same layout).