I say hire more immigration judges to make sure people in front of them get a fair shake and to speed up deportations.

Yep. And there are justifications on both sides of the political divide to do so. Conservatives can applaud the commitment to law and order, liberals can emphasize the civil right to a speedy, fair trial.

But we have to do more.

If only there was some sort of physical barrier one could place which would prevent, or at least significantly impede, border incursions.

Start throwing employers in jail who hire these illegals, and start rounding them up at work (and that includes the surburbanites who hire people standing outside the Home Depot).

I'm for this, with one amendment: employers who wish to discover/fire illegal workers on their payroll should be indemnified against EEOC lawsuits. It's not fair to forbid someone from looking for something, then punish them for failing to find it.

Start throwing employers in jail who hire these illegals, and start rounding them up at work (and that includes the surburbanites who hire people standing outside the Home Depot). Once the market for the labor dries up the rush to cross the border will drop.

This is definitely the way to go, I think.  It's the only solution that doesn't directly punish the immigrants (who, for the most part, are generally just desperate people looking for work) and it also is the most friendly in terms of civil liberties.  Far better to have the government keeping a close eye on a relatively limited number of businesses than to have it trying to keep a close eye on every person that has a brownish skin tone.  Ideally, I think there should be a two pronged approach though - first, increase the number of legitimate work permits, and then second add real penalties for businesses that employ undocumented labor.  That way businesses that have come to rely on said labor will have a legal alternative.  After a few years, once the companies are used to relying on legal workers, then maybe the government can start dialing down the number of work permits (slowly) to try to encourage companies to go with local labor.  Of course, all of this would require nuanced political compromise, would piss off all sides of the immigration debate, and would require long-term planning - so instead we'll probably just get an expensive, ineffective wall that's good for photo ops, and nothing more.