That's what we're getting. We're moving from 30 different manufacturer systems down to probably 2 (Google and Apple). I suspect some auto manufacturers will attempt to hold onto their own proprietary systems (BMW?), but eventually it makes sense for this stuff to be tightly integrated with your phone hardware and ecosystem.
Several of those manufacturers that Rob lists in the Google column have already signed on with Apple as well. Honda/Acura are launching several models this year with at least a partial implementation of CarPlay.