I'll assume based on your comments below that you retract the hostile language, so I'll now reply.
As I mentioned earlier, the future we are talking about is one with self-driving cars. The fact that the vehicles are accelerating is much less of a concern than sheer number of seconds allowed for an automated system to take evasive maneuvers. (Coordinating evasion is also much easier for automated systems, and traffic collision avoidance systems are widely used in planes, but this is a secondary point https://en.wikipedia.org/wiki/Traffic_collision_avoidance_sy... )
Your anecdotal experience is not really informative. But what is informative are car and plane accident rates, and the fact that altitude separation for planes is already a standard practice for avoiding collisions.
https://en.wikipedia.org/wiki/Separation_(aeronautics)#Verti...
It is a strong contributor to the fact that mid-air collisions are much more rare than the multi-car pile-ups from having cars in adjacent lanes. As I read your logic, you would assert that planes would be better off flying parallel, all at the same altitude, so as to avoid the need for grade separation. But this is not how air traffic is managed. Yes of course planes are able to separate out further horizontally than cars can (and just as a flying car would be able to), and this reduces the risk of collision debris dropping down on top of any other random plane. But this clearly does not mean that if, for whatever reason, planes became more horizontally restricted, they would make less use of vertical space.