The state in question here is Ohio. This child has two parents and while the case cited doesn't serve as legal precedent, it definitely shows the attitude of the courts in Ohio towards providing custody or visitation to legal strangers.
It is HIGHLY doubtful that the court is going to split this child's time between the CP, the NCP, and a step-parent who has made (according to the OP) false accusations to CPS.
Historically grandparents have been hard pressed to gain visitation rights, although courts have recently started to recognize their rights.
They've granted visitation rights for children born to same sex couples.
But a step-parent?
The situation would have to be beyond extraordinary for this to occur in this situation and in this state, especially given the fact that the child has two living biological parents. They aren't going to cut out visitation or parenting time in favor of a step-parent.

