You know, everyone can pile on Tim in here (FWIW, I feel that they should have their immediate needs met, but beyond that will be up for discussion), or we can get back to the issue at hand. Clearly, if we have an ounce of compassion, these children should not be left to starve, and simply sending them back means that their lives will once again be in danger. However, the influx of children on a system that already has 1.7 million children out of a home will only make the burden of care greater than ever. Putting them in the care of the government is a recipe for disaster, as we've seen with veterans. I'd suggest foster care or adoption, but if their parents are otherwise fine aside from being stuck in a violent place, that raises lots of legal issues.
In the end, all I can say is that I have not reached an answer I feel comfortable with. Sending them back or letting them all into the system at once will almost certainly result in an even bigger mess.