I've found that asking for a stance on immigration is the best way to tell real economic right-wingers from xenophobes. Support for immigration makes a lot of sense from a business perspective as well as a human rights perspective, which is why Ronald Reagan and George W. Bush had "liberal" opinions on immigration.
It's very disturbing to me that the Republican party and other right-wing parties worldwide have shifted against immigration. It implies that anti-immigrant sentiment is now so powerful that it has become worth it for supposed pro-business conservatives to ignore their ideology on this issue and oppose easy immigration.
This only makes sense to you because it is based on a caricature, not an actual position any significant group of American's hold.
Right wingers and Republicans are not against immigration. In fact they think it is a healthy and normal thing for the government to allow. There is no call for the hundreds of thousands to millions of immigrants that the government grants citizenship to every year to be restricted or reduced. In reality, many want these efforts and numbers increased, because there are obviously plenty of ineligible non citizens who would be a boon to our nation who can not get in legally. They also champion the nation state system and the sovereign right of a nation to collectively decide who and how many people are allowed to immigrate. Maintaining those powers as a government or supporting them as a citizen is not xenophobia or racism or "anti-immigration" in any way, shape or form.
What they are against is ILLEGAL immigration, which is a no brainer and can only be argued against if you are like Traitorfish and dream of an alternate reality irrelevant to anything, or you are a partisan lefty who artificially dissolves very real distinction between legal and illegal immigration and ignores any support for the former in an attempt to shoehorn accusations of xenophobia/racism/isolationism/buzz word of the week. Or in other words, do what you were doing.
Behold the xenophobia of the US!!! Persons Obtaining Legal Permanent Resident Status:
2007: 1,052,415
2008: 1,107,126
2009: 1,130,818
2010: 1,042,625
Yeah, we really aren't into this whole immigration thing here in America...
I do see your point: it doesn't matter if in the past law was not enforced, sometime we do have to stat enforcing it.
However "enforcing the law" may be not that simple:
What if their original countries do not accept those illegal immigrants?
That's what our diplomats are for, and honestly most of the sources of immigrants that would deny taking them back aren't particularly hard to crack on this front.
How do you force the deportation without violence?
Why would this be a goal? that's how the state enforces every law, including the speed limit. If you mean how to avoid physical violence that is usually the choice of the illegal immigrants, but I see no reason to shy away from enforcing a law because it might require appropriate violence to do so.
What about people coming from countries where their life will be at risk if repatriated?
That's what asylum is for, the state department can decide if that is a legit concern.
What about those people that came-in as children and lived all their life in the country?
I think they should be given a visa when discovered to allow them time to apply through the normal immigration process, and if they compete well good on them. So basically you won't get kicked out unless you were not qualified to get here in the first place (committing a crime here or at the country or origin before consideration, for instance).
However, I think it is morally flawed to give the children of more geographically accessible illegal immigrant populations like Mexico (Mexico shares a contiguous border and has an economy that makes illegal immigration attractive, it is not racist to state this obvious fact) should have some leg up on immigrants that can't get a head start due to oceans like Ghana or India.
It should be remembered that many "immigrants rights" champions are really just Mexican nationalist racists or those pandering to that group. They don't care about fairness in immigration one bit. One of the benefits of immigration is the diversity of the immigrants themselves, something these groups want nothing of.
What about punishing those employers who exploited illegal immigration?
All for it, this happens quite a bit now but should obviously be done more.