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. 
Making the decision to part from your spouse is always difficult – particularly where there is money and support involved. While the alimony laws in Minnesota may be difficult to understand, the good news is that you don’t have to go through this process alone. A good first step in requesting alimony is to contact a Minnesota divorce lawyer, who can advocate on your behalf.
Most courts give parents the opportunity to work with independent evaluators soon after the case is filed to see if they can reach an agreement about custody, parenting time, money and property. The two types of ENE are: Financial ENE (FENE) to settle financial disputes and Social ENE (SENE) to settle custody and parenting time issues involving their children.