With
You must login or register to view this content. you are able to simulate an Xbox360 controller with your dualshock controller. I don't know if that will help, but it also supports a custom mode, which basically allows you to bind any buttons on your controller to keyboard input, so you could basically bind L1 and R1 to Mouse1/Mouse2.
You may have some issues with the axis sticks in custom mode though.
Either way, it might be worth taking a look at.
Good luck!