I want to have 50/50 custody of the kids in my divorce so that neither one of us will have to pay child support. Is this possible?

I never like to hear this question. Have you asked yourself what 50/50 means, and whether it would be good for your kids? Perhaps you have. But even if "50/50" would work for your kids, it does not mean that no one pays child support unless the parents have equal incomes. If the parents have unequal incomes, the higher earning parent will have to pay some support.