People operate with different levels of defensiveness. I think in this case, a reasonably cautious person would brake and slow to a crawl when the idiot matched your move and went to his left side of the sidewalk. No yelling, no trying the other side, no trying to go farther right. First sign of trouble, hit the brakes and get below a velocity that could get you hurt. if idiot continues to barrel at you, get off bike, off sidewalk, hold bike in front to brace for impact.

Other people know they are in the right and barge ahead not willing to yield to someone not respecting their space. I'm not saying these people are wrong. I'm just saying these people get hurt more.