I do not how it is everywhere else but in California a bicycle is considered a vehicle and they have to yield to pedestrians. I have no doubt that you are a class act on your bike but it is dangerous when someone else does not understand that concept. There was one time when I was walking on the sidewalk along an overpass. A young woman on a bike was coming from the other direction and there was not enough room for both of us. She said, "excuuuuuuuse me" in the snottiest, most condescending tone possible. It never even crossed her mind that she was supposed to get out of the way until I pointed it out to her.
I happen to live in a university town which promotes cycling. We even have a wildflower event every April that draws people from all over the country so it is possible my area has a higher than average number of issues involving cyclists. Still, I would argue an 18 year old (the age when most Americans begin university) can grasp the concept that a bike is a vehicle and the rider must obey vehicle laws.
Finally, I question anyone's ability to safely operate a bike on a sidewalk with dozens of people scattered about.