Matt,
In a nutshell no.
No one iside the US legally is allowed to claim the benefits you list. It is the U.S.-born, U.S.-citizen children of undocumented immigrants who are eligible for programs and therein lies the crux. What's the answer? I'm not sure.
We need immigrants
http://www.huffingtonpost.com/fernando-espuelas/why-the-us-needs-more-imm_b_562425.html
It's had to get a green card without a relative in the US and I can't fault someone for choosing to improve their their life above following the "What part if illegal don't you understand"program.
They still pay taxes. They make payroll deductions to Medicare and Social Security that they'll never see. I don't believe many are paid in cash. Is there a net benefit or drain on the system? It's my opinion that it's minimal.
In my research the worst state for subsidized housing is Arizona at 10%. That means most are renting or owning which means someone is paying property tax some of which goes to schools so their children are entitled to an education. I don't see the need for immigrants going away and I don't want a future generation of uneducated, unemployable sub-class of citizens (Kentucky has suppied enough of them ) so I say educate them.
There is a difference between ILLEGAL immagrants and Immagrants.
The immagrants come here to be Americans and go through a process. They follow the laws we set for immagration. No one is saying we do not want immagration. We are saying we want to stop ILLEGAL immagration. Of the ones I have met, they want to get what they can while here and go back. They do not want to be Amenricans. They think we are a rich nation and we can afford to give them what they want. They break our laws, they have pamphlets that show them how to work our system, Issued by the Mexican Government on how to get Free health care, and free assistance. They make what they can while here and go back to Mexico to retire. While all this is free to them is costs us. We all pay for it one way or another. We pay for it in terrible schools, we pay for it in added taxes, we pay for it in higher medical costs. We pay for it in stolen identities and the added costs. We have people that have paid very little into the SS system drawing full benefits, they prove they paid under your SS number and they claim a check. Adding Millions of people that should not get SS draw it.
Also why are they allowed to break multiple of our laws? Try going to Mexico and breaking a few of their laws. Fly an American flag, demand a free interperter, demand free education, drive your car there. Let me know how long it took you to get out of jail. I would ask what the food tastes like at the jail but if your family does not send food you don't eat. Demand food and rights in jail. If you drive your car there and do not have Mexican insurance they take your car and keep it for the Police to use. But we allow mexicans to drive here with out a registered car, with out insurance and with out licenses. In CA they just made it a law that as long as someone shows up with a license they can drive a car away if you claim you are not a citizen. Presumabley as soon as you get it home you will have it back still unregistered, uninsured, and driving un licensed. In Santa Anna CA they claim a sacuary city and had to stop all DUI check points as all they caught were ILLEGALS. So if you are Illegal you can drive drunk, unlicensed, uninsured, and not registered in Santa Anna CA. Just a few miled from Disney Land.
In San Francisco another sacuary city we had a family killed by MS13 members who had deportaion warrants against them and they shot up a father and two kids who made a wrong turn on a CITY street.
Why is it OK to have these criminals on our streets and a trip out to get ice cream turns into murder or a trip to Disney ends in a drunk driver hitting you on the way home.
At what point should we not just deport all to Afganistan, China, France or Iran? I am talking about the ellected officials that defy the oaths of office to uphold the laws of the land.