How would I go about having the right taken away from my son's father?

In Florida, it can be very difficult to have someone's parental rights terminated, due to the fact that the public policy of the state is that it is in the best interests of a child to have an ongoing relationship with both parents.

If you are seeking to do a step-parent adoption, you can ask the biological father if he will consent to having his parental rights terminated as part of the process.

If your question pertains to custody of visitation rights of the father being taken away, then you need to consult with a family law attorney as to whether or not there is a legal basis to do what you wish and then make your decision. If you are asking about stripping the father of his parental rights via someone adopting the child in his place, such cannot be done unless the biological father agrees to such.