Riding a bicycle on the sidewalk isn't illegal most places because it's dangerous for the pedestrians, it's illegal because it's dangerous for the bicyclist.
I just find it odd when cyclists out of principal decry riding on the sidewalk when the danger of riding with traffic is well known and America has an abundance of long empty sidewalks in suburbia and around office parks.
Many dedicated cycletracks have similar problems. Here in Austin there are several that I refuse to use because drivers far too frequently turn into my path without looking. I ride in the lane so that I can be seen. It's counterintuitive to most drivers, but visibility is often the deciding factor in bike safety. This would be more obvious to drivers if they spent more time cycling. If a cyclist is stuck using a path with poor visibility, I find paying attention to the cars and using light touches of an air horn when approaching an intersection to help. But I still prefer being visible to that.
More generally, intersections are relatively more dangerous (crashes per person mile or something like that) than straight segments of road for any mode of transportation using the road.
Vehicles, on the other hand, do follow traffic rules with regards to lane usage, signaling, and checking what's behind them. Even if they don't, they're still more predictable compared to pedestrians.
Which are what? Such a broad statement doesn't seem accurate and the sidewalk shown in the map looks low traffic with excellent sight lines, as long as you're not cycling head down at high speed the danger to pedestrians doesn't seem comparable to danger posed by car driver's ignoring traffic rules.