I keep thinking of Neil Williams (the aerobatic pilot) who wiped out his whole family flying an IMC approach.
While I can echo some your sentiments, I think you are getting carried away a bit with this statement. Neil Williams flew a CASA 2.111 into a mountain in IMC, with his wife and two other passengers (not family) on board. Not quite the same, I think?
I can't really see the point in bringing children along in small aircraft who are so young that they don't realise what is going on. It's noisy (or an unfamiliar headset has to be worn), can be bumpy and in many aircraft they would be struggling to be able to look out the window.
Another issue is the seat belts. I've lost count of how many times I've seen children being placed in the right seat in a Cessna with no booster cushion or anything, and the shoulder belt strapped right across their throat, ready to kill them in an accident. Nobody would think of transporting their child in a car with such a seat belt.