Additionally, please note that the father's new wife's child support is not "income" to her. The Court may also consider her income for the limited purpose of how it impacts the taxes deducted from the father's gross pay (if the father and his new wife are filing joint tax returns).
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Generally speaking, child support is always modifiable until the obligation to support terminates as a matter of law (e.g., the child turns 18 and graduates high school) if a material change in the circumstances affecting support has occurred. This often includes one party earning significantly more or less money than he/she did when the Court made the prior child support order or a substantial change in the custodial time share.
There is really not a yes/no answer to your question. Determining how parties will share physical custody of minor children is often very fact-driven. In a situation like the one you have described, a Court may very well order that the parties and the minor child undergo a custody evaluation by a mental health professional and/or appoint minor's counsel to represent the minor child. I would advise your friend to seek the advice of a family law attorney with substantial experience in complex...
You can not "stop" the divorce (or have the matter dismissed) for this reason. You can, however, allege a different date of separation in any Response you file.