Another change I'd like to see is shorter undergraduate programs. Most can stand to lose a few classes off the beginning that duplicate high school and a few off the end that duplicate grad school. That might have to be a political decision in response to the high cost of education. Shaving off a year could help you avoid the family issue entirely, especially if you worked for a year or two before returning to grad school.
Similarly, another proven model is that senior year of high school can also be used to reduce the duration of college. You can already get college credit, but it's a very fragmented and uneven system. State governments could fix that with policy, again to address the high cost of education.
That said, I don't really trust the funding agencies and department heads to do the right things that will actually improve the long-term health of the system. I think we'll end up with a shitty band-aid solution instead like giving postdocs mediocre raises. It could take a really long time for the system to truly crumble enough to force change.
We'll see though, I hope things take a turn for the better in the coming years because certainly I know many PIs that are frustrated for one reason or another. If you get enough profs on the same page it could have some actual power.
Lack of pressure to change something is absolutely a reason in and of itself. How could the system be changed to avoid this?