You can, but few do. The Stop sign makes sure you've come to a halt and are focused on what happens next instead of "just cruising".

Interruptions reset focus (unless you're so distracted that you don't notice the sign).

No, you need to come to a full stop at a stop sign. That's why it says STOP on it with capital letters - so that even idiots know what to do.

The point is that other jurisdictions get away with using way fewer stop signs than in North America, while having much safer roads.

Yep, from driving in the States it is clear that they liberally use stop sign where you really want a yield sign.

Even with perfect visibility, ignoring stop signs can kill:

https://www.youtube.com/watch?v=SYeeTvitvFU

Slowing down to idle speed and ensuring the intersection is clear absolutely nothing like what’s being addressed in that video.

Congratulations, you just got an immediate fail on your driving exam!