What If We Had A "Public Option" In The Auto Industry?

Imagine if General Motors had the power over Ford Motor Co. to:
(1) tax Ford ,
(2) set mandates to regulate Fords prices, production numbers, technology and more
(3) initiate politically driven investigations of Ford Motor Co practices, compliance with regulations, how it communicates with customers and more
and, (4) imagine if Ford had to show a profit for its shareholders but General Motors did not have to show a profit because the large majority of its shareholders, the government and the union, did not seek a profit.
How long would Ford survive in the market?
With the government and unions dominating GM and Chrysler, this may be instore for us.
Meanwhile, in the argument for "public option" or "cooperatives", in ObamaBaucusCare, the government run or government subsidized entity will have the real advantages described above over the private insurance companies.
These advantages for the "public option" or the public option disguised as as a copoperative, are in both the House and Senate bills.
Yet, Obama, Baucus, Pelosi, Waxman and rest of the liberal Democrats crowd try to pass off the "public option", or disguised public options, as good for competition. They expect the American public to be so stupid as to actually believe this obvious lie. Of course, the private health insurance companies will not go out of business immediately, just as Ford in the above scenario could hang around for a while. But, the end game is inevitable. Ford would go out of business in the hypothetical situation above and private insurance companies will go out of business or merge into a single-payer government-run health care system. Do you think that you would get an improved car from General Motors if it had the powers over Ford described above?