That requires a level of consideration for others that your average American simply cannot comprehend. No stop sign means you have unlimited right of way bestowed by god himself and fuck anyone and everyone else.
The other option is the person who sits at a 4-way stop until all traffic in a one block radius stops before they move, totally ignoring right of way and all sense of safety and propriety.
Stop signs should be special. Reserved only to those places where there simply is not enough visibility or time to observe.