That is a quote, not from one of Teddy Kennedy's enemies, but from Ed Klein, who was a close friend.
Listen to the audio:
It's apparent that Klein imagines that joking about Chappaquiddick was an endearing trait.
(Thanks to Fred4Pres for the tip.)
ADDED: All the funniest comedians wear a neck brace.
AND: If Teddy always "saw the other side of everything and the ridiculous side of things," then that's an open invitation. Despite his death, we can make all the Teddy Kennedy jokes we want. If anyone should see fit to criticize us, they need to know: Teddy wouldn't have wanted it that way. Don't defile the memory of the man by drawing the line on humor.