Three Mile Island was a mistake, yes, but not a tragedy and something that's been greatly blown out of proportion. People speak of Three Mile Island and Chernobyl in the same sentence as if that's meaningful. The radiation released from Three Mile Island is akin to everyone in the surrounding area receiving a chest X-ray.
I wouldn't trust third-world nations with atomic power either because they don't have the knowledge, expertise, and training we and the Western world do. In fact, that's exactly how Chernobyl happened - an unsupervised, poorly-trained Ukranian crew not having anything more than a cursory knowledge of what to do in an emergency. Combine that with a shoddily-constructed reactor (partial-containment vessel) and generally poor design, and its no wonder there was a disaster. American reactors are designed to the most advanced specifications and I'd sooner worry about a coal train derailing or a gas main exploding than I would a reactor melting down.
This country hasn't started construction on a single nuclear reactor plant since 1979. That's like never building another ocean liner after the Titanic sank or never designing jetliners because a few Comets broke up in the early 1950s or never trying to go into space after Apollo 1 caught on fire on the ground. What defines us as intelligent beings is the ability to use a mistake, an accident, an uh-oh to learn and improve and do better instead of running away and cowering in fear like an animal.
Still, sadly and as always, facts don't dictate perception.