Ferrari have been branding things as F1 style on their road cars for years. How much of it is actual technology transfer and how much is just marketing hype is a difficult one to tell. I mean even some humble hatchbacks now have 'F1 Style' flappy paddle gearboxes, but that doesn't mean they are actually F1 gearboxes.
There have been a few concepts of ultimate racing cars thrown around over the years, but the only one I know of that has got anywhere near 'existing' is the X1 as it exists virtually and Red Bull built a life sized model.
The X1 could never exist IRL though as the G forces it generated would cause the driver to blackout.