Kelly's premise is: Two illegal immigrant parents, with children that are American citizens.
Kelly's real question is: "Are you heartless?" and the answer can be framed in ways that are not at all heartless.
1) We don't deport actual American citizens.
2) We don't know if the children are Citizens -- that's why we need to pursue either a Congressional statute or a Constitutional Amendment so that we can clearly state exactly what the status would be.
3) Because we value families, we would certainly want to keep the family together. Now, since the parents are here illegally, it's clear that the parents need to go. That's the bottomline. Of course, if the family expresses interest in staying together, we would help them, and we would provide assistance so that the children could join their parents in Mexico. That's not really up to the government -- that would really be a choice that the family would be free to make.