Bob
You bring up all the good questions, and reasons why things are the way they are.
There has to be better options to strengthen families, and instill some self control into people again. At some point our society has to acknowledge that what we're doing isn't working, and is in fact, hurting society.
Taking it all away is harsh. Is likely not the answer ,,,, yet. At some point if nothing else rears its head, it will be the only option.
Church based and secular private orphanages would likely spring up over night. God help us if the govt. took charge of them.
Short term, they'd be full. Over time however, I think Darwin would take care of a large portion of cut off dead beat parents. The others would force themselves to get right, and take care of themselves, and eventually their children.
Dunno, it's a problem, that's for sure!