According to the National Center for Missing & Exploited Children, about 115 children / year are the victims of “stereotypical” kidnapping. These “stereotypical” kidnappings involved someone the child did not know or was an acquaintance. The child was held overnight, transported 50 miles or more, killed, ransomed or held with the intent to keep the child permanently.
115 children out of ~74 million in the US. I understand it's a highly emotional and tragic experience when it happens, but statistically speaking, the odds of your child being kidnapped are roughly the same as them being struck by lightning. Part of the problem is the amplification effect of modern media. Kidnappings are sensational stories and we have a very human and empathetic reaction to them. Public perception would indicate that the odds of an child abduction are way higher than they really are. The biggest risk to your kids being abducted is one you probably don't want to admit -- around 200,000 children/year are abducted by a family member. Another 58,000 by people they know. Restricting your child from playing outside probably won't do much to help those far larger threats to their safety. I know it's an emotionally charged subject, especially for people who have been directly effected by it, but when you look at it rationally, the numbers speak for themselves.
We're scared of the wrong things.