Definitely not. The American People are already quite misinformed about the Supreme Court; their views would become even more distorted if they started listening to brief soundbites played on television.
Letting people see 30 second snips of something important would differ from the rest of American life how exactly? The American people are "allowed" to watch political attack ads; this would be more distorting how? People standing over the American public choosing what they are grown up enough to watch always smacks me wrong. If folks want to see the 30 second CNN version, well to bad for them; if they want the 4 hour CSPAN2 version, well maybe they need a life. But it would be their call.