Earlier quoted context omitted.
This doesn't seem to be responsive. Your kids (or mine), no matter how heart-tugging a debate example they may be, will still be hurt less from a collision with a bicycle than the cyclist will be from a collision with my car. To argue otherwise, as Yver did above, is silly and counterproductive.
Arguing the degree of hurt is pointless - you can kill pedestrians if you hit them with your bike. http://blogs.kqed.org/newsfix/2013/03/07/san-francisco-bicyc... http://dcist.com/2012/06/woman_dies_after_being_hit_by_cycli...
Clearly this is an issue of religion. If so, then just declare your side, sharpen your pitchfork and be done with it. But arguing as this thread does, that riding on the sidewalk for safety is "equally unsafe" needs to be done with evidence. It's certainly not true that the collisions are independently more dangerous. Maybe you could argue that there would be more of them or something.