We have over 8 billion humans on earth.
Most of earth’s surface is the sea, yet we don’t collide into each other.
Far more area on orbital space than on earth,
Yeah - at that scale each one of those dots is about the size of a large city or county.
On a rough calculation, the volume in question is about a trillion cubic kilometers, or about a million cubic kilometers per satellite.
If distributed evenly, the spacing between the satellites would be about 100 kilometers (62 miles).