Not true. The social gospel is not about government, but personal responsibility to help the poor.
Enslaving the masses to government dependency is not what Jesus preached.
In fact, in study after study demonstrates that it is conservatives who give more, volunteer more, and invest their own time and money to help the poor, while liberals are the stingiest and most apathetic. I sincerely believe this is because they think the government is supposed to help the poor which absolves them of doing it themselves.
The liberal "social gospel" is summed up as simply that this: that liberals don't have get their hands dirty actually doing anything for the poor as long as the government does it for them.