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Since you are married, he will be permitted to request visitation rights to the child. Since he was discharged due to abuse of drugs this is something you will want to bring up in court when you request no visitation. In the end it is up to the judge. The judge can order no visitation or supervised visitation until he has undergone a treatment plan and is no longer busing drugs.
I would not suggest you go this alone based on the issues the father is having. Consider contacting a lawyer to represent you in this matter.