Can my child opt for child support rather than social security disability income from his father

Wanting child support instead of SSDI: My stepson is now receiving SSDI benefits because his real father is disabled. The court has ruled that my stepson is not entitled to child support because he is already getting SSDI, which is more than what he would get in child support. Is it possible to refuse SSDI benefits and force the real father to pay child support? I know it sounds silly to want less money per month but my Wife and I feel that it is the real father's obligation to pay for his son instead of the Government or taxpayers.