Yes, Jesus would be the first person to turn away a prostitute from health care because she spent all her money on drugs. The Bible is filled with stories of Jesus blaming the poor for their problems and refusing to help them.
Charity should be promoted and practiced at every turn.
But Gov't mandates are not charity. They are programs designed to remove $ from taxpayers' pockets in order to win votes for politicians and money for bureaucrats. This leaves less money for the taxpayer himself to give personally as he sees fit. And far too often the poor are left out in the cold as the bureaucrat pockets money that should have gone to the poor.
Socialist Gov'ts often use the Bible to manipulate the way to higher taxes. Again, this is a distortion of the Bible. God is looking for people to give of themselves...not look to a faceless, institutional State to do it on their behalf.