I'm suggesting that we re-direct some of the funding for training PhD students into funding for postdoctoral positions (via either fellowships or research grants). Professors would still get their research team, but rather than consisting mostly of untrained PhD students, they'd have a smaller, but more effective team of trained researchers.
Immediately after undergrad is how it used to work in the golden days of science, more or less.
If the competitiveness is the problem maybe tenure should be a lottery that you enter once at a fixed stage, preferably before you're expected to start publishing in journals.
A tenure lottery seems like an extreme option - there has to be a middle ground between what we have now and something entirely random.
The act of producing a doctoral dissertation usually leaves something of a mark on one's outlook, skills, etc. I claim it is a _distinguishable_ achievement for life.
A better solution would be to stop overproducing PhDs. We could reduce funding for PhD students and re-direct that towards more postdoctoral positions - perhaps even make research scientist a viable career choice?