Theres no moral claim that can support society paying for others personal debts. They entered into contracts voluntarily, as did we, and we paid off our debts. No one forced them into these contracts.
In the Sermon on the Mount Jesus said that we should take care of the widow, the orphan, the lame, etc.
Some interpret that to mean that those who choose to follow Jesus should do that.
Some interpret it to mean that the government should force everyone to obey Jesus ... in this instance...but not in other situations of the teachings of Jesus.