1. You do realize these pilots can already fly passengers, correct?
2. This is the type of problem companies help solve all of the time. The minimum wage worker making my burger has no idea when meat is safe for consumption, but a whole series of internal precautions allows him to serve me a burger in a safe manner.
2) Flying an airplane is nothing like making a cheeseburger. I do not think it is a worthwhile goal to allow unskilled people to operate airplanes, especially if they are carrying passengers. Instead we should focus on making sure the operators of the planes are as capable as possible to first avoid dangerous situations and then deal with them when they are unavoidable. This is exactly what the FAA does.
If you screw up a cheeseburger maybe someone gets sick, if you screw up in an airplane people die. They aren't even remotely the same thing.
In your example of food safety, I believe it's your state department of public health that solved the problem, not the restaurant.
Obviously restaurants had an interest in food safety. You're being a little silly with your sarcasm. The question is whether food was as safe as we (citizens) wanted, and whether food safety would improve with government regulation. I suspect the answers were "No" and "Yes", respectively.
Take recent issues at Chipotle for example. Without government intervention, they easily might decide that it's cheaper to pay marketers and public relations experts than to improve the safety of their supply chain and service.