Best thing you can do IS turn it over to him.and please for the sake of the children no more hurting by being mean to each other.She is doing the will of Satan, so of course she will laugh at you. but don't let him win...Be a christ like father for them.And pray for her that the Holy Spirit will come upon her and ask that the spirits of disobeidience,anger,lies leave her.
This has to be done but also ask that he speak to her everyday.Lay her at the foot of the cross everyday and your children and yourself. because WE also must be obedient and put him first... Try it and really mean it from your heart and you will see a peace in your heart and like I said she will notice it also.
Leave her alone for now and do not be angry because it makes our hearts hard and we dont want that...Our children needs us more than they have ever needed us before, be there for them, dont bad mouth their Mom...just tell them you will be there for them..and you are praying for your family..
I wont post to you anymore if you dont want me to...just think about the things I have said.
Ask God to change YOU first. Keep praying,stop doing and saying things in from of the kids show them that their Daddy does want to make it all better for their family.. be there for them...They will also see a change when God starts changing you...