I disagree with Landy's advice to let the Mom indoctrinate the kids since they are ONLY ten and thirteen.
My objection is based on my own personal experience.
My mom accepted a free home Bible study from the JWs when I was about 7 years old. In less than a year her marriage to my dad was destroyed and from that point on I was raised by her, totally indoctrinated into Watchtower dogma and "end of the world" theology. She was a hard-liner -- I had NO friends in school, and engaged in NO extracurricular activities. I wasn't even allowed to associate with the kids in the Kingdom Hall because she wasn't sure they were "theocratic enough"!
By the time I was in my mid-teens I was chronically depressed and my sense of self was almost non-existent. I had no view of the future other than that Armageddon was coming and that after that... well, no one really had any idea what to expect, but it was going to be WONDERFUL! Did I think about suicide? Yes I did, but since suicide was a sin, I didn't think about it often. I did have some accidental "close calls," though. Were they subliminal suicide attempts? Quite possibly.
So I would urge you to do whatever you feel you are capable of doing to offset the JW mindwash and keep your kids emoitionally healthy and optimistic. If you can get away with it, I would even urge you to tell the kids that "mom has some silly ideas about religion" and make sure you learn about OTHER cults and share this information with your kids. Tell them that they can be FREE in their own minds, even if it means PRETENDING to go along with the JWs. Tell them to ALWAYS tell you when their mom beats them. JWs are really big fans of corporal punishment in addition to psychological abuse and torture. Emphasize to your kids the importance of them doing EVERYtHING that can be done to nurture their talents and interests.
Or you can be like my dad was. He did none of that, because he didn't care. His excuse was always "things could be worse." It never occurred to him that things could have been better, too.
He's dead now. He was dead to me since I was in my teens.