I find it interesting that people who are against universal health care are worried they'll end up paying for somebody else and most, if not all, claim to be Christians.
So I thought it would be appropriate to discuss what the Bible says:
From Isaiah 58
Is this the manner of fasting I wish, of keeping a day of penance: That a man bow his head like a reed, and lie in sackcloth and ashes? Do you call this a fast, a day acceptable to the LORD?
This, rather, is the fasting that I wish: releasing those bound unjustly, untying the thongs of the yoke; Setting free the oppressed, breaking every yoke;
Sharing your bread with the hungry, sheltering the oppressed and the homeless; Clothing the naked when you see them, and not turning your back on your own.
Then your light shall break forth like the dawn, and your wound shall quickly be healed; Your vindication shall go before you, and the glory of the LORD shall be your rear guard.
Then you shall call, and the LORD will answer, you shall cry for help, and he will say: Here I am! If you remove from your midst oppression, false accusation and malicious speech;
If you bestow your bread on the hungry and satisfy the afflicted; Then light shall rise for you in the darkness, and the gloom shall become for you like midday;
Then the LORD will guide you always and give you plenty even on the parched land. He will renew your strength, and you shall be like a watered garden, like a spring whose water never fails.
From Matthew 25:
“When the Son of Man comes in his glory, and all the angels with him, then he will sit on his glorious throne. 32 Before him will be gathered all the nations, and he will separate people one from another as a shepherd separates the sheep from the goats. 33 And he will place the sheep on his right, but the goats on the left. 34 Then the King will say to those on his right, ‘Come, you who are blessed by my Father, inherit the kingdom prepared for you from the foundation of the world. 35 For I was hungry and you gave me food, I was thirsty and you gave me drink, I was a stranger and you welcomed me, 36 I was naked and you clothed me, I was sick and you visited me, I was in prison and you came to me.’ 37 Then the righteous will answer him, saying, ‘Lord, when did we see you hungry and feed you, or thirsty and give you drink? 38 And when did we see you a stranger and welcome you, or naked and clothe you? 39 And when did we see you sick or in prison and visit you?’ 40 And the King will answer them, ‘Truly, I say to you, as you did it to one of the least of these my brothers,  you did it to me.’
41 “Then he will say to those on his left, ‘Depart from me, you cursed, into the eternal fire prepared for the devil and his angels. 42 For I was hungry and you gave me no food, I was thirsty and you gave me no drink, 43 I was a stranger and you did not welcome me, naked and you did not clothe me, sick and in prison and you did not visit me.’ 44 Then they also will answer, saying, ‘Lord, when did we see you hungry or thirsty or a stranger or naked or sick or in prison, and did not minister to you?’ 45 Then he will answer them, saying, ‘Truly, I say to you, as you did not do it to one of the least of these, you did not do it to me.’ 46 And these will go away into eternal punishment, but the righteous into eternal life.”
There are many other passages. That seems to me to speak to the character of Christianity - charity and taking care of others is a fundamental belief, but we surely don't practice what we speak. I don't remember the Bible speaking anywhere of making sure those you help are worthy.