By accountability, I assume you mean for the mother and father. But as we know, people aren't responsible or accountable.
So why not ask, how do we make people accountable? I think you could argue that some programs make it easier for folks to be unaccountable.
I have no idea. However, I think all forms of birth control should be free and easily accessible, and I'd rather pay (as a taxpayer) for a tubal ligaton or vasectomy than a lifetime of welfare, and most likely crime.
There needs to be a balance between being heartless, and a total sucker.