This is one of the contradictions. There's a perception that cycling is dangerous and this needs to be overcome to increase the take up of cycling. When you've reached critical mass with take up then this perception disappears. Cycling infrastucture one way but not the only one to overcome this. Other things may be more achievable and beneficial in the long term.
I read a report from the GLC Traffic Committee from the end of last year which suggested the Boris Bikes had been 20 times more effective at getting new people cycling in London than the Boris Blueways. The former cost about a quarter of the latter. And for 1 mile of Blueway you could put 100,000 people through Bikeability training.