Euro ATC;
The US trains MANY of the worlds pilots. Come on over and look at our flight schools in Florida, Texas, and California as well as Arizona. You will find that we train MANY, MANY foriegn pilots. In fact, one year a stat came out from one of the flight training magazines, that the US trains more pilots then the rest of the world combined every year.
As to where does Lufthansa get it's pilots? Well they do indeed get most of them ab initio. Guess where they train them? The US! JAL does the same. You will find all JAL pilots trained here. There are others that you will find too. Our General Aviation is greater than the rest of GA in the world. That is just a fact of life. If you want to compare to the traffic load between the US and Canada, take a look at the US provided TSD's that we share between countries. It will not only display the aircraft that are flying in the US, Canada, Japan and England, it will also count them all for you. The numbers are impressive for the US and speak for themselves.
GA does NOT flourish in the rest of the world due to the HIGH cost of flying. In part some of the high costs are due to paying for the services as you go... Try flying around different parts of the world. It is REALLY expensive.
As already explained, the US aviation pretty much pays it's own way as far as aviation services goes. There is some that comes out of the general fund, but that covers pretty much the military and the govt. service aircraft as well as some of the other governmental functions that the FAA handles. The bulk though comes from the Aviation Trust fund which comes from airline passenger ticket fees, fuel taxes, freight lading taxes etc... Everyone pays their fair share...
regards