This glimpse into the past, for some reason, always ends at the most favorable time for the speaker/writer. For Native Americans, the idyllic time was when there were no Westerners. Pro-immigration people like the days of Ellis Island. But Native Americans wouldn't get back their home/land that you own now, would they? No one does.
The cost argument is also nonsensical, since the United States is spending billions of dollars to support Ukraine in a war that has very little to do with the United States. Sometimes paying is strategic and sometimes one simply thinks it is the right thing to do. Other times, however, you pay now to save money in the future.
“Why do you deserve to be here any more than I do, someone born and raised here?“ -- It is not a question of deserving or not deserving, but of following the procedures established by the United States of America for legal immigration into the country. If the U.S. had told me, no thanks, peace, I would have left. I think I deserve to be handsome, but I am short and ugly. That's the way it is.
“Do you think the deportation forces if they come to your home or workplace and have questions about your legal status will be understanding of the fact you weren’t born here?” -- Yes, I do. And if they don't understand, I'm not a citizen (yet -- I applied) and I understand that the U.S. government is allowing me to stay here and I could be “deported” under the laws and regulations of the United States of America.
“Can we trust that the courts will give you due process when now having to handle quadruple the case load as before?” -- If the occurrence of mistakes, which are inherently inevitable, did not allow actions to be pursued, no one would do anything.
"This is a country built on immigration." -- Would this lead to welcome with open arms everyone who wants to immigrate in the US? Should Australia, given their original Western stock, welcome criminals from all over the world, or maybe just England? The past should inform, but certainly not dictate. Should your ex-partner, since they loved you at some point in the past, love you forever?
The pro-illegal-whatever-immigration are scared of saying what they think, that is that they are good and kind people and the others are ugly and mean. But the real world is not a feeling-good novel, I am sorry.