Sure, they used fraud to enter the country under false pretenses. So what should be done now? Is it the hotel owner's job to deport them? Should the hotel owner in Manhattan kick them off their property? Then the person is in the street. So now the street owner kicks them off the street? So then they're on the sidewalk, so the sidewalk owner kicks them off the sidewalk into the Hudson River? So then they're in the river, so the owner of the Hudson River kicks them out into the ocean?

Yeah, they effectively get deported. That's where the government comes in. The people should screen who they allow on their property, not the government.

That pretty much solves the problem of terrorism and communicable disease, I think.

I think the role of the government in this case wouldn't be to monitor immigration per say, it would be to protect private property rights.

As far as "borders" go private property lines are necessarily closed, except when the property owner gives someone permission to enter. If there is no right to enter someone else's property without their permission there is no "right" to immigration is there?

The government can't say someone is allowed in the country if the private property owners all (including airports, roads, and trains) say "no, they aren't allowed on any of our property"