Is there a particular location where you find cyclists on the pavement to be a problem hillsideresident?
I agree that cyclists on the pavement can be a menace, but I don't see an easy solution other than providing more cycle lanes and recognised shared pavements. There is a clear, and successful, strategy to encourage cycling in London. I see no possibility of a licencing system for many pretty obvious reasons, not the least of which is that it would discourage cycling.
I suspect that cycling on the pavement is pretty low on Police priorities. It's annoying to pedestrians, but does it really cause that many injuries? How does it compare with all the unlicensed drivers on the road who, perhaps, should be a higher priority.