Re: The main problem here..
As a daily cyclist I say that we definitely have no right whatsoever to be on the pavement. My bike is a road vehicle. Except and unless I'm walking alongside, it has no place at all among the pedestrians.
There were bicycles on the roads before motor vehicles, in the modern sense, even existed. Many roads were built or improved because of the demands of cyclists. It's up to the motorists to play nicely with us, not the other way round. And I say that as a car driver and motorcyclist.