And here's where your facts are flawed. What you are referring to is INCOME taxes, not all taxes. There are lots of other taxes that all Americans pay plenty of, like Social Security, Medicare, gas taxes, sales taxes, property taxes, etc. etc.
Furthermore, illegal immigrants pay quite a lot of the same kinds of taxes as well (depending on how their work situation is set up), and a significant percentage of them pay into social security, etc that they will never be able to collect.
Sales tax revenues are insignificant compared to income tax revenues. Many states don't even have one. Income tax really is the most significant tax out there.
And honestly do you really think those meager sales taxes generate sufficient revenue to pay for illegals' large families and poor health at hospitals?
The bottom line is that third-world peasants aren't able generate enough wealth to pay for first-world government.