currently though, they are called "people," or "human beings."

And logic dictates that you nor anyone else is actually supporting anyone other than your own families as they are theirs. Your Government taxes those that are employed or making profits, and from there the Government decides what to do with All the Peoples' money.

So unless you yourselves are taking money directly out of your pockets and feeding needy people/families that are here while undocumented, then yes it is costing you money otherwise it is not.
You really think that if the Government stopped all social services and truly began saving money by not buying $5000 toilet bowls for the Pentagon, or losing Billions of actual dollars in some fake foreign war (think Iraq) that you would actually get money back in pockets? They would just find somewhere else to spend it on themselves.
And btw, did you see your President Trump suckle up to everyones' favorite Russian President Putin? Or was that fake news too?