First, his consent is not necessary for her to get a divorce.
While the other party ignoring the case can cause some delays (basically, to let the time for answering run, and then take default), divorce is essentially "one party" in the modern world, and you do not need the other side's consent, or cooperation. A "contested" case is about the terms of divorce, not whether a divorce will be granted.
As to child support, it is hard for me to tell what the time share, overall, really is from what you've written. If you can figure that out, and know the approximate incomes of the parties, you can tell who would owe whom support under the law. See the Rivero opinion and other information posted at http://willicklawgroup.com/child-support/. Of course, either party could choose to waive money they are owed, but any such thing should be done with "eyes open" after seeing what the law indicates should be done.
I suggest a consultation with a family law specialist, bringing the actual custody schedule, and copies of any agreements, letters, e-mails, etc., that might be used as evidence of whatever arrangement is actually in place.
Answered on Jan 28th, 2014 at 11:25 AM