So I did some more homework (it is 20 degrees outside and the heater at my shop can't keep up):
Here is a really interesting, tightly written report, slanted towards unions but on the whole paints a picture of how the auto industry has/is adapting:
The Decline and Resurgence of the U.S. Auto Industry | Economic Policy Institute
The BLS has some reports and most show that the economy has a far great impact on employment than robotics.
From 2015
Automotive Industry: Employment, Earnings, and Hours
There are some really fascinating graphs in this link. Older stuff but insightful.
Automobiles: BLS Spotlight on Statistics
Engines: