It sounds like she may have committed an illegal act by having sex with a minor when you were 14. You need to talk to the County prosecutor's office to see if she can be prosecuted for violation of ARS13-1405 or 13-1406. If she is convicted of one of those offenses, you may be able to escape child support liability under ARS 25-501(f). But, I don't believe there is any exemption from child support unless she has a conviction on one of those offenses as a result of the conception of the child.
I don't think you have any lawsuit against the State because they granted her child support. It was your obligation to raise these considerations when she sought to establish a child support order.
You should talk to an attorney to determine whether you have any basis for a modification of the existing child support. You have not provided any facts that would lead to that conclusion.