President Obama has proposed a plan to give the parents of these children a path to citizenship due to their children's US citizenship status.
This is a misdirection. Children must always follow their parents, regardless of their citizenship. If a parent is here illegally, they should be deported to their country of origin, and of course their children must go with the parents. That is what family's do.
Using the children's citizenship is a smoke screen. Imagine if you, as US citizen, had a child born in Britain. That child is a British subject. Imagine when you tried to leave Britain, the authorities told you that your child is British subject, is better off in Britain, and would not be returning home with you. That would be ridiculous.
A government's law giving citizenship to a child has nothing to do with the family, and in these cases should be completely ignored. The rule of law must be upheld, and the parents deported. The children of course stay in the care of their parents. It is not the US government or President Obama's place to dictate what and where a family should live or be comprised of. It is completely arrogant and elitist. If these families were from Western Europe, there would be none of this discussion.
Again, a child's citizenship status has nothing to do with the illegal acts of their parents and should never be considered.