Can new spouse income affect child support?
Not normally. The existence of a step-parent doesn't affect the responsibilities of the parent providing child support.
Does my current spouse income affect the amount of child support I will receive from my child's father?
It depends on the state. Some states allow for spouse income to be affected by child support, like Texas and a few others. There are many however that do not take into account the spouse's earnings so if the non-custodial parents loses their job, their spouse income can not be used in consideration for child support payment amounts.