My 7th great grand father came over as an indentured servant in 1684. Members of my family provided debate on both the Articles of the Confederation and the U.S. Constitution. The above fact has no relevance other than historical significance. If you read the Declaration of independence, immigration, or the lack of it was one of the complaints made against the king.
He has endeavored to prevent the population of these States; for that purpose obstructing the Laws for Naturalization of Foreigners; refusing to pass others to encourage their migrations hither, and raising the conditions of new Appropriations of Lands.
The point is that immigration has been a problem from before day one.
So, what does James Madison, the "father of the Constitution" have to say?
With equal pleasure I have as often taken notice that Providence has been pleased to give this one connected country to one united people--a people descended from the same ancestors, speaking the same language, professing the same religion, attached to the same principles of government, very similar in their manners and customs, and who, by their joint counsels, arms, and efforts, fighting side by side throughout a long and bloody war, have nobly established general liberty and independence.
The above statement is from the second Federalist Paper which Madison used to sell the idea of a federal government to the 13 colonies.
We owe it to mere casualty, that very serious embarrassments on this subject have been hitherto escaped. By the laws of several States, certain descriptions of aliens, who had rendered themselves obnoxious, were laid under interdicts inconsistent not only with the rights of citizenship but with the privilege of residence. What would have been the consequence, if such persons, by residence or otherwise, had acquired the character of citizens under the laws of another State, and then asserted their rights as such, both to residence and citizenship, within the State proscribing them? Whatever the legal consequences might have been, other consequences would probably have resulted, of too serious a nature not to be provided against. The new Constitution has accordingly, with great propriety, made provision against them, and all others proceeding from the defect of the Confederation on this head, by authorizing the general government to establish a uniform rule of naturalization throughout the United States.
And this, the above, from Federalist paper #42
Is it true that force and right are necessarily on the same side in republican governments? May not the minor party possess such a superiority of pecuniary resources, of military talents and experience, or of secret succors from foreign powers, as will render it superior also in an appeal to the sword? May not a more compact and advantageous position turn the scale on the same side, against a superior number so situated as to be less capable of a prompt and collected exertion of its strength? Nothing can be more chimerical than to imagine that in a trial of actual force, victory may be calculated by the rules which prevail in a census of the inhabitants, or which determine the event of an election! May it not happen, in fine, that the minority of CITIZENS may become a majority of PERSONS, by the accession of alien residents, of a casual concourse of adventurers, or of those whom the constitution of the State has not admitted to the rights of suffrage?
The above from Federalist paper #69.
So, from the Declaration of independence, our fore fathers knew they needed immigration.
From the second federalist paper James Madison tells the colonies that because we have so much in common a federal government will work.
Madison explains in the federalist paper #42 that the federal government needs to control immigration and should have the power to set immigration policy.
Finally, in federalist paper #69 Madison tries to convince the colonies that one of the problems the constitution should prevent is an election being stolen by aliens.
IMO, we need immigration, but we should allow those who we want and need. We should not allow this invasion of illegal immigrants to continue.