You are correct.

Autocross looks like this:

http://www.get-fast.net/media/10505.wmv

Road Racing looks like this:

http://get-fast.net/roshenlap1.wmv

Here's where you find out more about autocross around here:

http://www.autocross.us

Here's where you find out more about roadracing around here:

http://www.summitpoint-raceway.com
http://www.virclub.com
http://www.nasaracing.net

Any questions?

Hope it helps-

Jon