I was thinking along the same lines as Jamie, but I didn't want to make any assumptions about your level of experience (or lack thereof).
There are basically two ways you can get a racing license. One takes more money, one takes more time. The club route takes time, as Jamie said. But, if you go to someplace like Panoz, you can spend way more money, and if you've got enough basic skills, possibly get a license in a single weekend along with some valuable experience in THEIR cars. (club racing requires the use of your own car, or at least a car supplied by you)
Putting yourself out on track with a bunch of REALLY FAST pro drivers if you're not an experienced racer yourself doesn't seem like the safest course of action to me. You could very well be putting yourself and other drivers at great risk. (again, TRYING not to make assumptions about your level of skill and experience... but given the question that you asked, it's pretty safe to assume that you're "green")