The best way to gain support is to extrapolate from your own situation. /s
Don't get me wrong: I believe your case, and I believe it's roughly on the path to reducing the effect we have on the planet. But you are missing few practical considerations.
The immediate case that you are obviously ignoring is parents with babies. Babies are known not to regulate their body temperature well, nor to have strong immune systems, nor can they walk long distances on their own. So what do parents do? Move between places with temperate climate and clean(er) air (home with AC/heating, cars, malls...). How do they do that? Driving cars (you've also got your mobile "locker" where you can put a stroller or any other necessities in).
At the same time, parents with small children (as a category) probably spend the most time outdoors walking in our society today, but that's usually walking "without a purpose." When they live in non-walkable areas, they'll drive to a walkable area first.
(Sure, we could subject our babies to all the extremes, but we'll have a higher infant/child mortality rate. We've long stopped subscribing to the "only the fittest survive" mantra.)
Since having a baby is a big investment today, if you are at the same time investing in a house, you'll look for (slightly) cheaper housing options. So, walkable neighbourhoods — I can't imagine anyone not wanting to live in one — are usually priced out of their range.
You are right that this is a loop: parents can't tell when they can stop being so vigilant, especially as children (and parents) are now unused to extreme climates, so they easily fall sick (parents included). And if they've invested in a home outside a walkable area, it's costly to move.
While you say breaking that loop is easy, I don't think it is. Moving places is hard and expensive (and harder and more expensive with children). Accepting higher sickness rates while your kids and you develop your immune and cardiovascular (to better manage body heat) systems is costly too (leave from work, paid help...). You should consider yourself privileged to have been able to do so!
This points at a number of problems: financial incentives for home builders are misplaced, missing regulatory requirements... and sure, insufficiently motivated people. And this is only when constrained with one thing (having a baby): there are plenty other constraints people might have (job availability, care availability, friends proximity...). Basically, people might have to compromise a lot.
If you only focus on insufficient motivation, I don't think you'll get many to "sign up".