Not sure where the closest event is, however, depending on what type of go-karting that you are talking about, the regional SCCA chapter holds autocross events, aks SOLO events, that you can compete in with a kart. You would be in the modified class in most cases. But its something to check into if you are interested in getting started in karting.
Check out these websites for more info about racing in the KC area:http://www.crownautocross.org/http://www.sadlersindoorracing.com/http://www.kckarting.com/