You have to be married to her for a certain amount of time. It probably differs from state to state. Also 2 months isn't that long that he hasn't seen the child. The courts usually require no contact for 1 year and that's in the event that you don't know where he is. If you know where he is, he has to be notified of any court hearing and he can contest. How long has he been given the supervised visitation? Are the visits suppose to be at a visitation center or are they just at her house with her there? It's best to wait and see what happens in the future with his drug use and stuff before trying to take his rights away now. In Florida it's almost impossible to take a father's rights away even if he's a sex offender, so each states laws are different. You can certain consult with a lawyer and ask what your options would be, but I doubt if right now a judge would grant it since it's only been 2 months since he's seen the child.
Also a bit of advice on supervised visitation...My exhusband was given 18 months of supervised visitation. He did 8 months and then moved away for 2 years. When he came back he said that his supervised time was up. I said no it wasn't and he took me to court. My lawyer told the judge "if a criminal is given 1 year in prison and then disappears and comes back after that year is up, does that mean he served his time?" The judge agreed and he still had to do the 10 months that was left. So keep records of his visits so the courts can see exactly when he visited and when he didn't.