Tower Ranger, I think you'd be flabbergasted if you ever got to see how we work countless VFR's at all altitudes right through the class bravo around our busiest terminal facilities. I don't doubt that Heathrow, or Dubai, or any of those other airports work a lot of traffic, but the controllers there work in a very sterile environment compared to us.
If you ever visit New York, let me know in a pm, and I'll try to set up a tour of the New York Tracon.