There are huge differences between Prohibition and trying to stop illegal immigration. Those who claim that Prohibition's failure implies the failure of stopping illegal immigration are either lying to you or are unable to think things through.
The only way in which today's trade in illegal labor is similar to the trade in illegal liquor involves things like massage parlors, sweatshops, and street corner day laborers. However, those are a relatively small part of the illegal labor market. And, even those employers have known physical locations, business licenses, etc.
And, we still have "Prohibition" of a sort: some forms of liquor are illegal, the production and import is tightly controlled, and there are various other labeling and advertising requirements. Unlike with illegal immigration, the government is quite willing to enforce those laws and, as a direct result, there is very little questionable liquor being sold. Executives at major corporations are not willing to risk the fines and perhaps even imprisonment associated with breaking those rules. And, the government is willing to draw a bright line between what's legal and what's not. In the case of labor, the government leadership is much less willing to do its job.
Some substitute the War on Drugs for Prohibition, and similar arguments apply in that case. Some bring up the market in forged documents. Since those are almost always used by illegal aliens, similar arguments apply there as well.
When you make something illegal, and there's a -- you know, people coming here to work, people figure out ways around it. I'm not old enough to remember the old whisky days of Prohibition, but I remember reading about it -- people still made whisky, because people wanted to drink it... And so guess what's happening today. We've got people getting stuffed in the back of 18-wheelers, driving across hot desert to find jobs that most often or not Americans won't do. There's a whole smuggling industry as a result of making temporary work -- not making it legal. A whole smuggling industry -- coyotes they're called -- and it's inhumane, it just is, any way you look at it... You know, family values don't stop at the Rio Grande River...
Now, some of you all may be old enough to remember the days of Prohibition. I'm not. (Laughter.) But remember, we illegalized whisky, and guess what? People found all kinds of ways to make it, and to run it... What you're having here is you've created a -- you've made it illegal for People to come here to work that other Americans won't do, and guess has happened? A horrible industry has grown up. You've got folks right here in Kentucky who are hiring people to do jobs Americans won't do, and you say, show me your papers, and they've been forged, and the employer doesn't know about it...