Everyone stops at a stop sign. Cars, buses, pedestrians, motorized wheelchairs, and bikes. This is not an issue that needs separate rules for cyclists. Perhaps they can re-evaluate that intersection, does it need a sign? If cyclists can easily coast through the intersection, the need for a stop sign is up for discussion. Perhaps a Yield sign.
My area has lights for intersections with more than 2 lanes per direction of travel, roundabouts for smaller busy roads, and most of the residential intersections don’t have signage. Stop signs are, mostly, used to slow traffic down.
I disagree. The Idaho stop is a very real law and it's been proven safe. There absolutely should be a different rule for cyclists and we already have decades of proof that it not only works but increases safety.
Also, pedestrians don't stop at stop signs currently. It's perfectly legal for them to continue without any kind of stop and I'm not aware of any place on earth that requires pedestrians to stop or has ever given a ticket for the them failing to stop.