Has this happened to you? From the number of threads on vehicular mayhem and the volume of posts detailing violent encounters on the streets, I'm guessing "no".
I've been cut off by vehicles once or twice. But I ride the sidewalks whenever I can, because I really don't trust the drivers enough to ride in the street when I commute.
Instead, more often, I have the opposite problem -- some drivers who attempt to cede me the right-of-way even when it's inappropriate. Most often this occurs when I am approaching the freeway exit or entrance ramps off Michigan Avenue to or from the Southfield Freeway. Sometimes a driver sees me and stops on the freeway ramp and motions me to cross in front of their vehicle. I don't think this is a good practice.
Because this is located in the heart of the city, the cloverleaf ramps are very tight curves. It's impossible for any driver to see the top of the ramp from halfway down. So I think it's likely that one of these motorists with the misplaced good intentions is going to get rear-ended by another driver exiting or entering the freeway at high speed.
At first, I just waved these people on, and I'm afraid it might have put them off a little bit -- here they thought they were doing me a favor. Now that I've seen this, I hang back far from the crosswalk so there's no doubt that I'm staying put, and they're not having to worry about me crossing in front of them.
Also, now mindful of the unpleasant situations the other posters have described, I always stop at stop signs if there are any other vehicles at or approaching the intersection. And I NEVER blow through a red light. I want to live long enough to see my kids all graduate...from high school...from college....get married...give us grandchildren...and so on.