If by this, you mean, "give them free education and medical care
I know that the US government don't protect the borders well enough and don't really search for illegals inside the country but If somebody is caught anyway then that's a serious thing, they are treated like criminals and kicked out.
Well, as Poles you may not understand. Schengen has displaced a lot of American floaters. We were allowed to live in Poland and the Czech Republic for as long as we like
Come on. You were allowed to stay here up to 90 days, just that you were using a loophole, leave for one day and you had next 90 days. And Schengen has been planned since years, months before It was all over the media.
The whole idea of illegal American immigration to Poland is still so bizarre that with a bit of good luck you should get away with this. Especially on the land borders, at the airports there could be some problems. So maybe It would be better to travel to Ukraine and fly to USA from there ? But that's just a thought.
But there's one thing I don't get. This is not America... here you have problems to borrow a book from the library without Polish ID... So you don't have Pesel, NIP, you don't pay ZUS, taxes ? If yes then I would rather worry more about these things than about immigration regulations.