Some of the facts with regard to your custody situation may change in the future. There is a chance that your ex-wife might start going out overnight away from home, maybe even spending the entire night away from the children, and possibly even leaving them home alone. Some fathers might be concerned about the welfare of their children and want to see if they can supervise the children on nights when their ex-wife might not be at home.
The rules pertaining to these issues of child custody vary greatly from state to state. Consulting with a legal professional would be advised in order to determine what sorts of recourse you might have going forward. A parent has every right to be concerned for their children if they believe they are not being supervised properly, and these concerns can be brought to court. These concerns can be communicated to the court more efficiently through the use of a legal professional who can assist in the preparation of documents.
Contacting a legal professional in order to view any legal agreement you might already have can then give you a clearer picture of what to expect. Having an idea of what to expect will make it easier to convey a clear picture of what is occurring to the court. If the court does not have a clear idea of what is occurring they may insist on having something submitted again.