And That is a basic Disrespect for the property of others. The Individual and the values he creates, both of which are his property.

Yes, you have THAT Situation which is a primary driver. But then you add Chain Migration, and the ability to vote into the mix... and the group that thinks far enough ahead, realize that they can run the country by beating us at the polls.

What's sad is that they USE THE LAWS AGAINST us, while breaking them, to USE THE LAWS AGAINST us to change them, to USE THE LAWS AGAINST us to in the end and take our country and turn it into their very countries they ran from.

The problem with open borders is that nobody who has a stake in the country they live in would immigrate. Instead, those who would immigrate would be the poorest, the least educated, the least skilled. They would bring their slum-generated diseases, many of which are non-existent in the US. That’s already happening with the resurgence of tuberculosis being brought into the US by illegals.
Our social safety net would be totally overwhelmed and, in fact, destroyed. We would see third world shanty towns growing up around our cities. Crime and drugs, drug crimes and gangs would become rampant. The government would have to seize property, assets and bank accounts to try to meet the demands for benefits, but would ultimately fail because these people would keep coming and coming, and in the millions.
For these and other reasons I do not believe Rand would have stood for open borders for a minute.

Monitoring the border with "appropriate retrictions" precludes an open border.

As with most burning issues of today, there are so many interrelated wrongs that is almost impossible to find a right. IF government only existed to protect individual rights through the police, the military and the courts as Objectivists believe, then open borders would be moot. Immigrants would only be restricted during times of declared war with their country, or infection with contagious disease. As a preemptive measure those convicted of violent crimes would be excludes but this would require a lot of limitations. We can't deal with this issue because we are a welfare state and our policies are based on altruism, statism and corrupted politics. Our racism, bigotry and fear that someone will earn some reward that should have been ours further hinders our thinking on immigration and with all of the above we have a Gordian Knot.

In America, white people are too entitled to work, black people did their work, as slaves, so they don't have to work any more. Physical labor is done by brown people, Hispanics, Asians, Middle Easterners, etc. We don't want the damn jobs and we want the results but we don't want the people that make it all possible. I think we don't have an immigration problem but we have many problems that get exposed when this issue is discussed.

I don't suppose you have an example?