You may be socially conservative but economically progressive. This is something that used to exist in American politics but was sort of stamped out as Republicans went into purity testing ideologies. You might be a Teddy Roosevelt sort.
If you seek strong "nuclear families" then remove economic and survival stress from people's relationships would strengthen them. As I mentioned elsewhere though, the ability to survive without dependence on a partner does also enable divorce though.
The best way to reinforce those nuclear family units is through strong pressure to have one partner work to earn an income and the other to take care of the home. Fewer, better paying jobs is the route to that.
I don't think pressuring people to stay together through marriage for life is the best way to form society. But if that is your goal, then this outlook does make sense.
Though I would be terrified of it, I think an economically progressive but socially conservative party would see a ton of support in the US.
