Riding on the LFP most of the Summer is like trying to drive an automobile near Daley Square on the last Friday of the month around 6:20PM.
You are just going to have to slow way down and perhaps stop a lot.
On the LFP WE bicyclists are the cars. The peds and ladies with baby strollers are the bikes. We have no right to expect them to jump out of our way just because we want to make time. There are a million other routes besides a multi-use walking/running/blading and slow-bicycling path that goes through a massive strip park that tens of thousands of people are trying to recreate on.
I'm sorry but that is just the way it is until/if they ever build a bike-only fastlane interstate down the lakeshore that is limited-access like a freeway for bicycles.
New-Fred Lance wanna-be's pretty much ruin the image of bicyclists for many chicago folks who see them blast down LFP buzzing peds like cars buzz us down a busy road like Ashland or Western.
Whenever I'm on the LFP I pretty much resign myself to going 5mph or less if there are peds present. Any faster is just not safe.