The Court may not consider the income of his new wife when considering the appropriate amount of child support to be awarded. However, there is a narrow exception that states that the income of the new spouse may be considered when the child would suffer “extreme hardship” if the income was not considered, which is rarely the case or applicable (Under California Family Law Code Section 4057.5).
For this case I would definitely encourage you to speak to an attorney to see your options in your case.
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).