A more equal society than the most equal to have ever existed (in modern times at least - some hunter-gatherer tribes are highly egalitarian)? No, I don’t think so, but the kind of issues Americans popularly hypothesize as reasons for low birth rates are just not relevant in these societies, and I don’t see lower inequality having much effect on the real reasons people have no or few children there.

The least unequal societies all have low birth rates though. While inequality is still a serious issue in these societies, I’m not aware of any evidence or mechanism suggesting addressing this would increase birth rates.

In none of the more or less functional democracies does the head of government have the right to veto bills. Granting legislative powers to the executive is not a check or balance, it disrupts the separation of powers.

You can achieve a check on the legislative by using a bicameral system, as many systems do, though in practice it doesn’t end up resulting in significantly better governance than unicameral systems that are also found among the aforementioned group. It’s far more important to ensure no single party, faction or (especially) individual has a monopoly on any of the branches of government. You might be surprised how little power the most powerful individual has in any such democracy.

The first time as tragedy, the second time as farce.

The Pam Bondi bribery scandal should have been enough to make both ineligible for office even before his first term.

However, it seems the lesson US society collectively learned from Watergate is that the executive should be immune from prosecution.

And how do you renewably generate the power for electrolysis without solar or wind farms?