Go here:
http://alfaclubracing.com/type-of-events/#DrivingSchool, and sign up for their Driving School at Streets of Willow January 16-17.
$299 for a two day driving school is a value that you're going to have a hard time beating. This is about the best way to get started in track driving. The Alfa Club school includes classroom instruction, skidpad work, and track.
As noted above, you don't need to change anything on the car, bone stock it's far more capable than 99% of drivers.