My parents spent a lot of time with me teaching me how to drive and I think I am a far better driver than what I would have been had I taken a class. My parents also restricted my driving until they knew I was safe behind the wheel. I think that enforcement of the current laws will work better than poor enforcement of more restrictive laws also I think parents should be a lot more involved in the process.
In Nevada I know they have restrictions on when teens can drive and the passengers they can have. Up here I think they have similar laws. A lot of teen deaths in Nevada do involve DUI and speeding, but the cerfiew laws have curtailed that a bit.