A main one not pointed out: cars are always (extreme negligence would be the tipping point) liable for crashes with cyclists and pedestrians. That's quite supportive for keeping an eye out for possible danger. To support that liability insurance is obligatory for motorists.

The one on left vs. right really is not even close to an issue. I would guess most MPs of most parties cycle to work. There is literally not a (native) child that doesn't bike by 7. We even have courses for newcomers to learn how to cycle.