I don't agree with the above. Surely you were kidding.
I think that drifting and rally driving are immensely entertaining.
Regarding the OPs handbrake idea, I'm sure with some creativity and parts swapping it could be done easily. Plenty of 82-92 Camaro/Firebirds in the junkyards used this setup. Import cars from the 70s and later did too. Looking at the huge lever that dedicated drift and rally cars use, something similar could be made from scratch.
I'm sure that you are aware that the initial slide when beginning a drift occurs from breaking traction at the rear axle. This is achieved by either skidding the tires OR dumping the clutch to induce extreme wheelspin.