Should we educate illegal immigrants?

North Carolina recently adopted what I would consider a compromise resolution to the question of educating -- and providing other public services for -- illegal immigrants, by allowing them to attend community colleges, provided they graduated from North Carolina high schools, and provided they paid out-of-state tuition.
The arguments against providing education and other services to illegal immigrants are
1) that this is a financial burden on taxpayers,
2) that caring for illegals may deprive citizens of the services they deserve, and
3) that offering services encourages more illegals to come. There may be a degree of truth to all these arguments, though the evidence is not conclusive.
On the other side, I would offer one core moral principle: In this country, we should not have any second-class citizens. That was what the civil-rights struggle was all about. "Ah," some will say, "but these illegal immigrants are not citizens." True, technically. But morally and practically, not true. If there are people living among us, and they expect to remain her permanently, and we have no plans to deport them, then for practical purposes they are our fellow-citizens.
I see a black-and-white choice: We need to either 1) deport illegal aliens, or 2) treat them as citizens. I think it is both morally wrong and not healthy for our society to let them stay here, on the one hand, and to deny them full participation in our society and economy, on the other hand. As for how we handle the technicalities of bringing them into full citizenship, there are lots of proposals -- everything from a blanket amnesty to a gradual, perhaps decade-long, process of application and preparation. But I'd say that regardless of the process chosen, one way or the other, anyone we allow to remain here needs to be brought into full citizenship -- because I for one don't like the idea of living in a society with an inferior under-class -- and that's what we'll have if a significant part of our population is uneducated, underpaid, and sick. Such a situation hurts not only them -- but all of us.