My take on matching "willing worker with willing empoyer" is that there are no quotas, if a job opens and no one applies for it then it's gets advertised to the world. The official libertarian line is in full agreement with that and has been for years.
There are it appears differing opinions among libertarians about the wiseness of such a policy but the fundamental philosophy of the party is that free movement of people, even if it is to be done only at legal checkpoints and not through the backdoor is just fine.
It's also what the President seems to be advocating we allow them to do. Or at least excusing them if they get caught. Above and beyond even that is the Presidents proposal to fork over our tax money to them. That money should see to our own national needs BEFORE it is ever considered for use elsewhere. Without a few billion going to Africa, a few more billion going to South America, and only the Gods know what else in foreign aid giveaways... we could probably get the budget way back under $2 trillion again. Easily.
$68 BILLION was lost because of illegals sucking up resources. Their taxes from picking turnips isn't gonna put a dent in that. Especially once they start drawing even more benefits legally. This'll make the Presidents Viagra give-away look frugal by comparison.