I think it is real simple and you touched on it. I can invite anyone I want onto my property from any country. I happen to like creme fresh and so if I invite someone from France to dine with me both of us may well be happy.
Not only does government not have a role in fixing the mess they created, but confusing immigration with our war-happy government misuse of our taxes only allows both sides of the debate to make recursive illogical assumptions.