If u r indeed on an unrooted ICS there is no way (yet) to root ur device. But if ur still on HC I'm not sure if these drivers will work for ya.
Try this instead:
Automated ADB Driver Installer for Sony Tablet S and P
Personally I still use them, even after updating to ICS. Havent really tested every function but it seems to work fine.
|driver, ics, windows, x32, x64|