If that were true, you wouldn't be able to buy multiple vehicles for under $18,000, which would have been a $10,000 vehicle at the turn of the century. How many $10,000 cars do you remember from 2000? I was in the market for my 3rd car by then and I can tell you the answer was zero. Cars are actually cheaper today than they've ever been DESPITE the increased safety and emissions features and you are exactly wrong in your claim.
The fact that most cars are priced at $60K doesn't mean cars cost that much to make, it means that the US car makers have decided to stop caring about poor people, leaving them to the used market while they go luxury, chasing ever higher margins from a smaller and smaller but ever-wealthier consumer.
Again, if safety or emissions requirements drove up prices, how is it legal for Nissan, Mitsubishi, Kia/Hundai and others to sell cars that cost under $10K in 2000 dollars when you couldn't buy new in 2000 for anywhere close to that? Just because Ford and GM WONT compete there doesn't mean competing there is cost prohibitive.