Yes they are the same.  Short of miracles (
disclaimer), He deals with us through institutions /organizations.  Most basic and fundamental such institution is marriage, consisting of pair-bound male and female offices, husband, or man; and wife.  You can only hold the office of husband if you're a man.  Like priests.  You can't "transition" from a woman to a man.  You're a woman, you can't hold that office, just like the pope.
The institution of marriage is where children come outta.  This is how God adds children to the World, through the institution and concerning offices of marriage.
Marriages make families, another institution.  Families are how children are reared, this again is God providing, in this case for the rearing of children, with an institution tasked with satisfying that duty.
The administration of justice is no different.  Though as Derf pointed out, even individual private citizens are deputized to administer the death penalty, when we are Americans, living under the Second Amendment, which explicitly acknowledges our God-given and inviolable human right to defend ourselves and our families.  We are acting as and with the full force of the state, when we are forced to defend our families through the administration of justice with a privately owned and legal firearm which we can carry on our person (wear).