You're not asked to give up going to the wilderness.
Regarding scheduling, in my eyes public transport where the mean time between busses is not under 15 minutes is not public transport. Running after a bus is a signal that the frequency is too low. "I need to leave five minutes ago to take the bus I intended" should be followed by "if I leave now I'll be a few minutes early for the next one".
Funny thing about scheduling. I have to plan to leave an hour earlier than I need to, and even then, I'm frequently late. Yet, my hyperfocus kicks in when I sit in the car and go through the rituals of "I'm driving now." The vigilance can be exhausting, but usually only bothers me when I'm leaving an observing site at 3 o'clock in the morning or I'm driving at twilight in deer country.
Your first point does not apply to, say, Switzerland. Missed your train? Just wait 5-10 minutes. 30 if you're in bumfuck nowhere.
2. This is why non-car-centric countries don't ban cars. If you're that kind of person (and not everybody is), you buy a car. You may not use it beyond these wilderness activities though.
3. Trains.
Trains are an interesting subject. For them to be useful, you would need to have rails covering the same destinations and paths as the highway system. One should also be aware of network effects when adding another layer of transportation services, including how they affect the distribution of services and residences. From experience, we know that roadways encourage spread because they allow you to cover a greater area with little time cost. Rail will likely encourage denser development and a higher cost of living due to a greater influence of rent-seeking entities.
One of the tensions one would need to explore is the tension between the need/desire of a chunk of the population to keep their distance, keep their living space separate from others, and be acoustically and physically isolated from them, while still needing services a 30-minute drive away.
ADHD is a big part of the reason I don't drive. I'm lucky enough to live in Berkeley which is very walkable with decent transit, and I would hesitate to move anywhere more car-oriented exactly because I have ADHD.
I think the reason I've been hypervigilant about safe driving practices is that my father owned a rigging company, and I was driving forklifts and stake trucks in the yard from about 13. I understood the impact a vehicle could have on other things, people included. Living in that world from about age nine on teaches you to be obsessive about properly securing a load (Molding machines, air handling units, lathes, etc.).
I've often thought people would be better drivers if they started their driving experience with the motorcycle safety training course curriculum and drove for a year on motorized two wheels, taking up the lane and keeping up with traffic.
I want good public transport in urban areas as I don't want to take the car, but I still own one for many uses.
I hate it to be mandatory to live.