First, I'd get as much seat time as possible. Head to the mountains and ride the twisties. While you're there, work on being smooth and in control at all times, building on the skills you learned in the safety class. There are some books out there that may be useful to you, the Keith Code books come to mind.
When you think you're fast, get some good track gear and do some track days. My personal favorites are Sport Bike Track Time and Ed Bargy's racing school. Both are a blast to take that offer a lot of seat time and personal instruction.
Then, when you get the racing itch, buy a used - already set up race bike. Join WERA or CCS or some other such org., open your wallet, max the credit cards, alienate family and friends and enjoy!
Couple of links:
www.wera.com
www.sportbiketracktime.com
www.edbargyracingschool.com