 Nyorai mberi kweiyi ndima - Muna 1983 akatasva muCART Championship Car mujaho paAtlanta Motor Speedway ndokupedza ari 12th, akabva agadzirira kukwanisa kupinda mu1983 Indianapolis 500. Akaputira motokari yake mumadziro ndokupwanya chitsitsinho chake. Pakati pa1983 na1986 akakwikwidza muNASCARs Winston Cup series. Akakwanirisa mumunda bedzi munhau yeTalladega Superspeedway umo motokari imwe neimwe yakakwaniriswa nekumhanya kunopfuura makiromita 320 paawa. Akamhanyira mumakwikwi 31, asina kumboguma ari pakati pemakwikwi gumi okutanga. Heveron anonyanya kuzivikanwa nokuda kwekutendeuka mukutendeuka kwekutanga pa1984 Firecracker 400, iyo yakaunza kungwarira kwekupedzisira kugadzira kuguma kunofadza naRichard Petty naCale Yarborough, Petty akakunda Cale munzira yekukunda kwake kwe200. Gore rakanakisisa raHeveron raiva muna 1986, paakapedza ari wechi35 muzvibodzwa. 