Disgusting.I dont know what I would do if they tried that with my family.
Ask around, you'd be surprised at who has had a wild eyed accusation thrown at them.
Then you tell them you'll see them in court. get their witnesses ready, and that you are never going to back down until your name is cleared and you have your kids back.
Stick to your guns, the social serpents will try to have you go to a bunch of counseling and classes which will cost you, sometimes more than money, because they can be seen as admission there was a "problem". Speak with your attorney about that, and do not communicate directly with the Social serpents any more than you have to, that is what your attorney is for.
You will be emotionally distraught (a weakness in any negotiation), the lawyer can keep the poker face necessary to keep 'em guessing.
Any violence, threat of violence, personal attacks, harrassment, outward signs of anger, etc., can and WILL be used against you by these people.
If you cannot keep your cool, (and d@mned few can), LAWYER UP!