Artistic License doesn't require artistry.
I also noted the following incongruous comment from the boorish Thing One: "How dare she try to tell me what she thinks is best for our children."
Please. As if people who advocate equality are the ones who try to exclude the other parents' right to parent.
If you add a Father Three, keep adding Fathers Four, Five, Six and a sprinkling of Mothers as well. Otherwise the stereotyping shows that real conversation may have more value than a playwrite played wrong.