Even he believed in the separation of Church and State. ("Render unto Caesar, the things that are Caesar’s; and to God, the things that are God’s." That is a pretty clear statement.)
Basically, we are all commanded, by God, to do good works. We are commanded by the State to obey the laws.
When the State compels charity, or chooses to act as the instrument of charity, then we have, essentially, begun legislating morality.
Legislating morality appears to be an anathema to the Left, when it comes to things like infanticide, suicide, sodomy, bestiality, etc. However, when it comes to the creation of a welfare state boondoggle (which has eviscerated the sense of family, community and personal responsibility in vast segments of our society), or when it comes to “hate speech”, or politically correct thought, then we just can’t seem to do enough legislation of morality.
I don’t think I will ever be able to figure out the Left, but when it comes to what Jesus would say, I believe he already has said it, “Render unto Caesar, the things that are Caesar’s; and to God, the things that are God’s.”