Woah! Wait just one cotton-picking minute, Ed.
It can hardly be disputed that pedestrians are as unpredictable to cyclists as cyclists are to motorists and although the song has it as, "I'd rather be a hammer than a nail..." It will not do in the least for cyclists to transfer their fears of other road users to a fear in pedestrians of the cyclists themselves.
As with the old adage, "sail before steam" there must be a clear understanding that the slowest mover has right of way at all times.
With presently pedestrianised precincts it may be helpful for a central 'track' to be designated for the convenience of cyclists, but even here the priority MUST be given to the pedestrian.
Be sure also, that if any advance comes in the mixing of foot traffic and the cyclist the need for insurance cover will follow, as day follows night.
I would add...
That a bell on a bike signifies ONLY that "I am here" and not "Make way".
