I assume you mean "Libertarian", and if so, you'd be voting for a party with THIS platform:
OFFICIAL PARTY STATEMENT
"The Libertarian Party has long recognized the importance of allowing free and open immigration, understanding that this leads to a growing and more prosperous America. We condemn the xenophobic immigrant bashing that would build a wall around the United States... A policy of open immigration will advance the economic well-being of all Americans... Any discussion of immigration must include a warning about the threat to civil liberties posed by many of the proposals to limit immigration. Recent legislation to restrict immigration has included calls for a national identity card for all Americans. Representative Lamar Smith (R-TX) has proposed legislation that would require employers to consult a national registry of workers before hiring anyone, effectively giving the U.S. government control over every hiring decision by every business in America. Other legislation has contained provisions penalizing people who fail to "inform" on people they "suspect" might be illegal immigrants. Such Orwellian nightmares have no place in a free society, but are the natural outgrowth of an obsession with restricting immigration."
2000 LP Party Platform - Immigration
We hold that human rights should not be denied or abridged on the basis of nationality. We condemn massive roundups of Hispanic Americans and others by the federal government in its hunt for individuals not possessing required government documents. We strongly oppose all measures that punish employers who hire undocumented workers. Such measures repress free enterprise, harass workers, and systematically discourage employers from hiring Hispanics. We welcome all refugees to our country and condemn the efforts of U.S. officials to create a new "Berlin Wall" which would keep them captive. We condemn the U.S. government's policy of barring those refugees from our country and preventing Americans from assisting their passage. Undocumented non-citizens should not be denied the fundamental freedom to labor and to move about unmolested. Furthermore, immigration must not be restricted for reasons of race, religion, political creed, age, or sexual preference. We therefore call for the elimination of all restrictions on immigration, the abolition of the Immigration and Naturalization Service and the Border Patrol, and a declaration of full amnesty for all people who have entered the country illegally.
Wow, brillant plan from the LP. Let's have open borders so the country's population will swell to 1 billion people within a few decades, that will surely bring about "economic well-being" for "everyone" already here. And abolish all border agencies and controls, we can have the U.S. and Mexico effectively merge, I'm sure that's a great step towards liberty and freedom. We all know much they value the will of the people in Mexico, a shining example of democracy < /sarcasm>
It's an interesting idea-- vote Libertarian to "stop" open borders. I had a "pro-life" Democrat friend who told me she was voting Democrat because the Republicans weren't doing enough to stop abortion. You guys must have attended the same school of logic.
I guess I need to study the "Constitution Party", or maybe dust off all of that Confederate money.