What's a "re-conversion"?
Is that like a "reversion" in Islam, where part of their claim is that Islam is the original religion and therefore submitting to that mess is not a conversion, but a return?
A re-conversion for Senator Kennedy would have been to ask forgiveness for all his previous actions and receive the Sacraments as a result of that Confession/Annointing of the Sick.
Both healing sacraments.