I agree with Ann and Mrs. Jones. My daughters got this to varying degrees from my wife's parents and my wife herself and it didn't affect their outcome in the least.
The JW's have a horrible retention rate with their children for a reason: The JW belief system and its apocalyptic vision is not designed to appeal to children. It's designed to appeal to unhappy and troubled adults who have lost their way and fallen into pessimism and despair.
Encourge your child's natural optimism. Help them to see the good in the world and not just the bad. Encourage them to get out and do volunteer and charity work as opposed to sitting on their butts and moaning about how destestable this 'system of things' is. Teach them critical thinking skills as soon as they're old enough. Make sure they go to college.
The JW belief system won't take hold in that environment.