"Race car" covers a lot of ground. For that matter, "clutch" covers a lot of ground.
Cast iron, and high-carbon steel, are the usual choices. They may be chrome-plated. Don't see any reason for using special alloys.
The steel plates in motorcycle and automatic-transmission multi-plate clutches are clearly stamped out of flat sheet in a stamping press. The drive ears can have sharp edges on one side and rounded on the other, because of the way the stamping tools cut them out of the sheet. A lot of the time, the surface is dimpled, to give the oil someplace to go. It's easy to do that in the press tooling.
I haven't seen Formula 1 parts, nor Top Fuel dragster parts, and everything I've handled with my own hands, has been for wet multi-plate clutches - hence the commentary about motorcycle and automatic-transmission parts.