Is it not illegal to make someone pay child support and deny him any visitation?

I was substantiated of sexual abuse in 2009 by CPS of my minor daughters, an act that I did not do. The Family court denied me contact; my legal and physical custody changed to 0%. As a result, I have not seen my children at all since 2009. I appealed CPS decision of substantiation. The decision was reversed and remanded. The trial court judge in a different civil court changed the determination to “inconclusive”. I was forced to pay CS all these years at $1,200/ month. I have a CS hearing coming up in family court. I also have child support arrears. Question: Can I request the family court to modify my CS, so that my CS since 2009 is made 0 or reduced substantially, since it is the system that denied me seeing the children all these years for something that I had not done? My Family law judge is ignoring my latest evidence, since she sided with the CPS all along. Is there any case laws , that can help me recover or adjust my CS for the 6 years that I paid based on 0% timesharing?