My daughter in law was knocked off her bike when she was a student, too. I did not intend to attack cyclists. I agree with the 'more guts than brains' comment, and not only about London. I was at traffic lights in a relatively quiet country area, with a car in the other lane beside me and a cyclist in my lane who pulled up beside me. When the lights changed, the other car pulled out, the cyclist cut across my bonnet and, had I not been alert, I would have run him over. I sounded my horn - I leave you to imagine the condescending gesture I got in return. He was in full cycling gear and looked fit, an experienced cyclist. But he's have been the one injured, perhaps dead, and I'd be the one trying to live with the fact that I had hit someone.
That's a really good point about a road tax for cyclists. The real answer is dedicated cycling lanes everywhere, and not ones shared with pedestrians - and that is going to cost money.