We would either need a display with mirrored image, or another mirror, and I cannot see how could reflection from windshield fail to be rather distorted. Depends on geometry, of course....

As for the mirroring, why not just flip the image as needed in software?

Distortion is a problem, but aren't there ways to minimize that? If nothing else, maybe some special kind of "screen" that you attach to your winshield? Takes away from some of the neatness of having it projected right onto the windshield, but might minimize distortion...