If you were to spread out equally not just all satellites, but ALL space debris in general in orbit, each piece would still be hundreds of miles form any other piece.
Add to that, they are not orbiting at the same height from Earth. In fact MOST of them are not orbiting at the same height. So they are actually much farther away than even hundreds of miles (on average). The chances for random collisions even if they were not being tracked at all would be very small.
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