04-13-2017, 02:37 PM
Mexicans are not the only border crossers, and it is disingenuous to insinuate as such by only mentioning them. The Chinese, among many others, are factors in this stance.
And, in fact, no, we would not have to check everyone. If the hosts cannot account for their guests, then it would entirely be on them. The problem you are having with this issue is that you wrongly assume these visitors have to be hunted down, when the government does not have to actively search for anyone at all. If the hosts cannot account for them, and are held financially liable for any wrongdoing they may eventually do as a result of their overstaying their visit, you will quickly find this issue resolving itself as individuals and businesses would not want to have such an outstanding liability on their hands. The liability would never disappear so long as the host has guests unaccounted for in the country.
In short, the public is not the one requesting the various visas. It is specific institutions and businesses, and therefore those should bear the associated burden. As such, the public should not bear any burden created by those entities inviting foreigners into the country to stay for a time. However, if the public should accept burdens (such as any placed on the justice system, hospitals, and so forth) as a result of the negligence of those institutions in properly seeing their guests home, then those institutions should be held financially accountable for their negligence.
Basically, your "Papers, please?" argument is categorical nonsense derived from a misbegotten sense of the proper way to approach the issue.