Let's also please not equate the 'Traditional family unit' with 'Family'. The concept of what a family means is something that comes from the people trying to build one, not something that tries to replicate some fantasy from the 1950s.
Yes, in the 24th Century in Starfleet you probably don't see a lot of white picket fences and 2.3 children where the mother eagerly awaits the return of her husband with dinner on the table. But you have family units who mean every bit as much to each other as the people who had those white picket fences, and neither image of family is better or worse than the other.
And, question. You see the government getting involved in child care as a bad thing, but you're totally in favor of the government deciding what constitutes marriage? I say let marriage be a personal thing totally separate from the government and offer free child care to working families.