I'm not 100% sure about N.America, but in Europe at least, the vast majority of cyclists you see have driving licenses and even own a car, but are just choosing not to use it. Yes, there is a subset of cyclists who flaunt traffic laws, although, I've yet to see any statistics to say what sort of percentage actually do this. (It is probably far lower than people think)
On a daily basis driving (or cycling) around Toronto I see many cars passing through traffic lights at red, especially in the case of a left turn.
in London, UK, there was a study performed to work out why (as a percentage) female cyclists were involved in more accidents than male cyclists. One of the conclusions was the fact that a male cyclist was more likely to move off before the traffic signal turned green, jumping the red light. Although, I suspect that is not what you are referring too. An unnerving number of cyclists do just blow through a red light without any hesitation, which is not a smart thing to be doing.
I sympathise with your pedestrian anecdote, cyclists if they are riding on the footpath (legally or not) should always be courteous to pedestrians. Although, you should really not take offence at a cyclist ringing their bell at you. When riding my bike I am more than aware of the fact I am almost silent so ringing a bell from a sufficient distance does warn pedestrians you are approaching, it certainly should not be interpreted as an aggressive act on the part of the cyclists. Shouting and being aggressive though, if you don't appear to notice, is totally out of order. (for all the cyclists knows, you may be deaf)
(And yes, whilst my bike technically is legal to ride on the side walk in Toronto, I do not do it)