Which social services to use as a safety net are you talking about? Because it is not Medicaid:
"In order to get Medicaid and CHIP coverage, many qualified non-citizens (such as many LPRs or green card holders) have a 5-year waiting period. This means they must wait 5 years after receiving "qualified" immigration status before they can get Medicaid and CHIP coverage. There are exceptions. For example, refugees, asylees, or LPRs who used to be refugees or asylees don’t have to wait 5 years."
https://www.healthcare.gov/immigrants/lawfully-present-immig...
Unemployment benefits? You have to pay into it to get money out of it. Same as everyone else.
Emergency treatment at a hospital? I don't see a difference between citizens and immigrants.
I would really like to know where that free money is I hear so much about.