Whenever a politician uses a Bible verse...I'm very wary.
It is, at times, nothing more than a method to A) Gain attention B) Try and use it as a spring board for your agenda, rather than a whole-heart-ed opinion based on scripture.
Regarding illegal immigration though:
Amnesty is not the answer. Quoted from Californian Governor Arnold Schwarzenegger (Comparing Amnesty to a similar 1980's program),
"It backfired big-time. It sent the wrong message: You come here illegally, and then we go and give you amnesty. So then, the next million come and they say, 'Hey, we get amnesty, this is really terrific"
Course though, I don't believe we should begin lining the border with walls and barbed wire.
Especially when you consider the conditions in Mexico (the prime source of illegal immigrants).
I mean, it's a poor country in comparison. Sure they don't have the right to come over here undocumented, but it is very tempting to jump the border when you consider the much better pay. Not to mention, we are somewhat to blame for this. (Google US Illegal Immigration Explained, bottom of page 1 and top of page 2).
Admittedly, I don't have a solution to this problem either. Though I'm starting to think we should create a new VISA-that would allow immigrants the ability to work documented in the USA, only specialized for manual labor. I admit, I haven't thought of all the details of this idea, nor the implications of it. I'm rather juvenile, so I might just be a kid dreaming big. Who knows (well certainly I don't know), maybe this idea has been tried and has failed.