Including American citizens in the cost of illegal immigrants is dishonest.

It is actually honest. You measure what is paid in versus paid out. Many immigrants come with children. Those people need education services immediately if they are to assimilate into the flow of productivity. They also take healthcare dollars. These are all legitimate costs. Law enforcement costs money and pulled away from normal operation. Immigrants need to be processed. Property owners pay taxes to have law enforcement to protect property. Again, all legitimate costs. But let us examine your logic, if migrants didn't generate net revenues positively in their country of origin, what makes you think they generate a net positive in the new host country? If they didn't generate a net positive for their country of origin, like a failed state like Venezuela, by which evidence do you use to determine they are indeed productive enough? Furthermore, why do municipalities like NYC have to cut services? Why do they have to evict migrants from shelters? The coordination and logistics of feeding them and find them shelter, getting them the proper healthcare, all at no cost to them. Resources are not unlimited and because of that, these new peoples drive up spending that has to be paid for by the native or local populations. If the federal government does not want to fulfill its immigration policy with federal dollars, offload the costs to local governments, what does that say about the scarcity of resources?

Left-wingers are correct that unfettered immigration boosts GDP, because it boosts total spending, even if it means most of it is by taxpayers paying for these new peoples. Using their logic, we should take in all the people in poverty in the world, and boost the GDP to astronomical levels by funding all of it.