You cannot use the standard sony ps2 dual shock with the p360 because it is entirely analog. When triggered, the P360 brings the pad down to around 0 volts, causing every button to be pressed. However, you can use this controller with a regular joystick like a Happ Super.
I think Snaaake uses ps1 pads, which conveniently work w/ the ps2. The ps1 dualshock has been reported to work w/ the P360, but I'd like to avoid them b/c they are 19.99 at gamestop.
I will probably finally get around to this next weekend. I'll let you know how it goes...