What I expect to see for those that view it as primarily punishment is little outside of child support for kids. Penalizing the "dead beat dad" as it were. I expect those governments to not provide child support, tax breaks for parents, or any sort of welfare/support/minimum standard of living for parents. That is to say, the answer to "how hard would it be to be a single parent" in those government would be "very hard".
For governments that are solely looking out for the welfare of the kid, I expect to see a large amount of support for kids, especially for poor families. I expect some help with childcare, housing, etc to make sure the kids are well cared for.
The closer people holds to those values, the easier society accept laws like anti-abortion. Religion do play a supporting role in this by holding onto the values, but is itself not always in the center.
Most nations still have social support and government responsibility as last resort, which equally can do the job of supporting children without willing parents, but then people return to the punishment/moral angle that if men don't want to pay for children then they should not have sex.
Look to how quickly people reaches for the morality position and we see how little friction anti-abortion policies has to overcome.