When I got my Duster insured by Hagerty last year they made it very clear that my car would NOT be insured at any drag racing-type event. Autocross and road course track day coverage was a little extra (which I got) but they said drag racing "is too open about who can drive and how much drivers need to know before getting on the track." They may offer specific coverage for drag racing but I told them that's not what I intended to do with the car anyway. On that note I never quite understood how drag strips just let you jump in and go while road courses/auto-x have mandatory new-driver training before you're allowed on the track at all.
