This makes no sense. People want to commute to the best job they can get, not the one that happens to be in their neighborhood. And people aren't going to move neighborhoods when they move jobs, especially with spouses and kids who have jobs and schools in the existing place.
Id argue you are just taking the status quo as inevitable when it is really just a result of policy choices and not how human society has ever been structured before
Madrid is doing this. Savanah Georgia did this. Manhattan did this. You could also reverse the consolidation of everything. Instead of CVS owning every pharmacy, incentives to prompt the pharmacy being owned by the pharmacist. Or a local butcher. And most jobs that require commutes don't require it now, and if cities were built with the appropriate mix of housing all incomes could live in a section of down further cutting down on commutes.