I don't see anything like a blasphemy or disrespect in visiting Chernobyl as a tourist. It is already a history. I don't have contemporary statistics about cancer. AFAIK now radiation is low and the normal "incubation" period of radiation cancer is 3-4 years. My grandmother died because of cancer in a 3 years after the accident, it was a burst of cancer at that time all over the Ukraine. Some problems still exist (like nobody knows exactly what is going on under the sarcophagus). But the peak was too long ago to be an actual disaster.
One can remember museum in Auschwitz. Or how Roosevelt proposed Stalin to keep ruined Stalingrad as a museum area. It's a memory and warning.
Villages around Chernobyl were evacuated in a hurry and everything was left as it was, like if people suddenly disappeared, and than everything decayed with time. It makes a feeling of Apocalypse. There is even a popular PC game on the virtual reconstruction of that town (Припять). Now that area is quarantined.
http://www.tema.ru/travel/chernobyl/