Sounds like both the bike rider and peds need to learn to use the MUP safely. That means sharing the path, not flying around blind corners, keeping kids out of harm's way, etc. I can't tell you how many times I've had near misses with bikes and peds who are not using the MUP appropriately.

I recently had a bike overtake me around a blind corner and directly into oncoming bike traffic on a narrow bridge. She was trying to keep up with her riding partner (probably her husband) and made a bad move that almost had serious consequences, but for my slowing down. I yelled at her, but she never even acknowledged her poor judgment.