I am 13 years old, and want to know if autonomous cars will take over drag racing in my lifetime, because I really don't want that to happen in my lifetime?

I would guess it is very unlikely.

An autonomous car and unmanned ground vehicle is a vehicle that is capable of sensing its environment and navigating without human input.

Would you pay $70 to see driver-less cars race?---I wouldn't, and probably a majority of racing enthusiasts wouldn't either.

I don't see a market for driver-less car drag races.