For sure, one of the advantages of cycling is that you can at any time become a pedestrian by dismounting. This allows you to take advantage of pedestrian crossings. It's going to be really annoying to dismount at every intersection or every ~500ft/155m.
> The cyclist doesn't cross until the cars are gone.
There's a four-way stop by my house that continuously has traffic for a hour twice a day during rush hour.
> remounting as necessary
A key to road safety is behaving in a predictable manner. Cars are supposed to yield to pedestrians at crosswalk but bikes are vehicles.
It's far safer at the intersection to merge into traffic, take the lane and yield the intersection with the same rules as other vehicles.
> It's far safer than the alternatives.
History shows it's not. Sidewalks aren't designed for use by vehicles going 3x the speed of pedestrians.
It's not safe for the pedestrians and it's not safe for the cyclists.