How about there are two curved screens. The outer one is the conventional windshield, subject to normal wear and tear. The inner one, which it curved to match, is the display screen. It is separated from the outer one by a small gap.
Sort of double-paned window idea, although the inner pane wouldn't need to cover the full height of the windshield over the driver's head. It could just cover the space from dash to sun visors - or maybe not even that tall.
It could also be hinged to swing towards the seats for easy cleaning of both surfaces and/or if/when the windshield needs replacing.