Earlier quoted context omitted.
Respectfully, without judgement, your perspective may be wildly skewed because you’re American (going by your post history). I suspect the negative externalities in a society built around cars don’t register with you because to you it is the normal state of the world. As a Dutchman, I grew up in a built world that is based around the human scale and to me your parent’s claim comes across as astonishingly obvious.
I suppose in the Netherlands they use carts and horses to stock up the supermarket? To transport coal to the powerplant (or the wind turbine blades to where the wind turbine will be built)? Surely a bicycle isn't enough for that. You might be only talking about personal cars, but you've got to remember that trucks share the same infrastructure cars use. Modern city wealth wouldn't be possible without engined vehicles…
However, you're making my point for me. If you fail to invest in good public transport it will suck. That is downstream from designing your society around cars instead of transportation for everyone. Bikes do not work for extremely long distances (although school children here will happily pedal 10km to school and back on the daily), but those long distances are a requirement precisely because infrastructure is designed around cars. Even so you can take bicycles on trains and use them for last mile transport at your destination, or store a bicycle at your destination train station (most have lockers or guarded storage) if it's a commute.
Regarding bad weather; if winter is bad enough for bicycles to fail, then certainly it is not safe to drive either, and lethality is orders of magnitude higher. Generally though people here ride bike paths that are shovelled and brined just as the roadways are.
Bikes have their own infrastructure that they do not share with trucks. It is for human beings only.
Here's some reasons to hate cars. https://www.youtube.com/watch?v=umgi-CbaSRU