After the elapse of a period of time, nobody much cares if the reason you only had every other weekend was because the other parent truly wouldn’t “let” you have more time. Although that may very well be the case, and although you may have let your spouse control the situation in order to spare the children the trauma of parental conflict, in my experience the courts are more swayed by the pattern of contact rather than by these “excuses.” The wisdom of Solomon does not apply. 
Mediationis one ADR method. In mediation, the parties try to work out an agreement between themselves with the help of a neutral third person called a mediator. The mediator helps the parties discuss their disagreements, make compromises and reach their own agreement. Mediation can be helpful because both of you have agreed to the outcome rather than having a big fight and the judge makes decisions for you. Mediation about custody or parenting time can be helpful because you both will continue to be parents to your children and together you can continue to work out parenting issues. In mediation both of you should be able to say what you want and cooperatively work out compromises. If you don't understand things or don't feel you have equal power with your spouse, the mediation is not fair. You can stop the process at any time without reaching an agreement. You only have to try to settle. You can't be forced to agree to something.
In most counties in the Twin Cities Metropolitan area, as well as now many out state counties, after the filing of a summons and petition, the next step in the process will be an appearance at an Initial Case Management Conference ("ICMC"). ICMC’s are aimed at trying to expedite the processing of divorce cases, and minimizing conflict and the expense associated when parties quickly resort to litigating (resorting to the lawyers and the courts to decide disputes) all issues. As soon as a party files the petition or answer with the court, your matter will be assigned to one judge or referee, who in many counties will be responsible for all aspects of your case until its conclusion. Typically within thirty days thereafter, the court will schedule the ICMC. Both lawyers and both parties must appear, and the vast majority of judges and referees (judicial officers) will not allow any motions, including temporary motions, to be filed until the ICMC takes place.