Food stamps, WIC etc.. are covered by Welfare.
The Welfare Reform Act opened Medicaid up to Welfare.
If you want to apply for Medicaid you go to your Social Services office.
Here's a link to a guy who is obviously not a fan of illegal immigration.
http://www.immigrationcounters.com/
He supports you $300+ billion number, but it's cumulative over the last 12 years.
Like I said before, I don't disagree that it's an issue that needs to be dealt with.
The presentation hurts the message.