Honey, I can honestly say that I know where you are coming from and how you feel. My husband has two uncles in the family who are currently sitting in jail for molestation and rape charges to children who were in the family. I don't care how much you can claim someone is "changed". Molesting children is a result of being attracted to children sexually. A tiger does not change its stripes. The only thing that could have happened is he was taught to suppress the urge to do anything sexual to a child. But everyone knows even the strongest of structures crumble over time. Its just a matter of how long it will take. So I am completely with you on this. That man has no right to be around your children. You are the mother. Trust your instincts. You'll be surprised in the end how much your instincts can guide you in the right direction. And my husband, sister-in-law and mother-in-law have all had bad pasts with molestation and child rape. Its not a pretty picture, and believe me. If those two uncles-in-law ever were released from jail, they would be going nowhere near my daughter at any period of time.
As for your husband, he needs to understand that you don't simply get "saved" from something that can be considered a mental illness. People try to claim they were gay and were saved all the time. There is no such thing. They just learn to suppress the desire. But stay strong, honey. Your husband needs to learn this stuff on his own, if anything just talk to him. And if anything, never leave your child's side if his uncle happens to stop by or if you happen to pay a visit.