As stated above, get Xpadder or JoytoKey.
Afterwards, run the program and just bind the keyboard keys to the buttons you want on the controller. However, the game still has binds which makes things difficult...
So, I bound the 'game buttons' in this manner, using the game config:
Game Buttons - Sixaxis Buttons
ABCD to D-PAD
"Quick-Action and Pause" to "Select and Start" respectively
A+D to L2
A+B to R2
A+B+C to R3
Which leaves the last game bindable button to L3 - the control stick.
Basically, we're going to have to play with the stick until someone cooks up something... or use the keyboard?
And I'm no good with the joy in fighting games...
OR
Netcaster disables PAD if you set the settings to keyboard. So, just bind all your pad keys to the keyboard keys and set the netcaster setting to keyboard.