Statistics also show that the most well rounded, grounded people come from single mom heads of household with extended familial help in the maternal line.

How can that be?

Maybe because your statistic is based on a correlation to poverty. Poverty is the real problem, not single mothers.

The mechanics of controlling female bodies within society punishes single mothers with poverty. But poverty is the problem with incarceration rates, not single mothers.

Therefore, doing away with marriage and any kind of ideology wrapped around the ownership and domination of women will not lead to widespread incarceration rates unless you punish women for their freedom. Because you want to own them. You want to be master.