In the UK, any industry that is sold off by the government and privatised, eg the rail network, suffers. Some things are better when government run (eg health care, under no circumstances do I want the US system, sorry).
But not auto companies, the UK tried that with British Leyland (later known as Rover when it went private) and it pretty much ruined it (although granted the unions were at least 50% at fault, which may sound familiar).
Well, you could argue that railway is a service and not a product. Healthcare... you and I disagree but we probably shouldn't debate that in this thread.
Amtrak is a government service, however, and its flawed. Routes are inadequate, heavily subsidized, and not often on time. I still prefer the quiet and comfortable federal government trains to the privately owned (and federally regulated) airlines. Flying is faster, safer, and far less prone to delays but congested, stressful, and intrusive.
I think you'll find that the governments and the unions will sell their shares quickly, in the case of government, more than likely to pals and contributers to the party in power. I too, can't see the dealerships costing the company money, just a way to jack up the prices. The dealerships are the face of the company and supporters of their town's charities, minor sports as well as providing jobs. In a local town near me, population about 7500, they are closing the GM dealership, leaving only a Ford one. Closest GM 15 miles away, Ford dealer can't believe his good fortune, like winning the lottery. Sorry for the rant.