The Libertarian Party is for open borders, on that basis alone the Libertarian Party is unacceptable.
The Libertarian party is for easy legal immigration, not open borders.
BUT, they are also for completely eliminating the programs that attract the criminal and moocher elements- eliminating subsidized healthcare, welfare, housing payments, etc for illegals.
They would shut down the magnet that is causing the illegal problem, thus turning us back to a mutually beneficial legal immigration system.
The only of the three parties that actually would reduce government in that regard. Democrats solution is a welfare state; Republicans solution is a police state.