Pragmatism, aka fascism, has as its philosophy "Do whatever seems necessary." Hitler did this, and kept doing it, and kept doing it, until he was a totalitarian dictator, democratically elected.
If we do not step outside of what seems necessary and focus on natural rights and incentives, theory, we will make the same mistakes. This was Hayek's argument in The Road To Serfdom, and he was right.
As believers we do not practice our ethic because it is practical. We do not abstain from fornication or adultery because it is practical. It is anything but. We do so because we have adopted a peculiar ethic in imitation of Christ. No other reason. Sometimes there are fair consequences for following Christ, sometimes there are dire consequences, according to His decree. We do not look at the consequences, we look at the command to follow Him.
The world has no rational ethical imperative for caring for the poor. Some people are altruistic, but this is merely a residual of the imago dei in them. They are under no compulsion of duty to care for the least of these. Christ does not impose such an ethic upon them, because apart from the indwelling of the Holy Spirit, to do so with pure motives is inconsistent with fallen human nature.
By calling for statist programs compelling individuals to care for the poor we impose an irrational law on top of the natural law which is part of the common grace. This natural law is able to be deduced logically and scientifically via case law, or common law. Inconsistencies are rooted out and expelled.
We ought to stand up for the common law, and limited government under common grace, and assume for ourselves all the responsibilities inherent to the peculiar ethic we adopt under specific grace.
Any attempt by Christians to impose responsibility for care for the least of these onto those under only common grace is to insist that they reject their minds and reason as a tool for making decisions, and instead to adopt an irrational, unrewarding form of servitude to an arbitrary law.
It is also an attempt by Christians to shirk the responsibility Christ laid upon them as a condition of discipleship, and thus to reject their Lord.
To think about these issues in terms of the neediness of the least of these is to say that Christ is not sovereign, or that He is uncaring in His admonition to the Church to assume full responsibility, or to lack faith that Christ can achieve His decrees through the Church.